Vectors And Scalars Mathematics Pdf
Scalars and Vectors - LSU
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Scalars and Vectors Scalars and Vectors A scalar is a number which expresses quantity. Scalars may or may not have units associated with them. Examples: mass, volume, energy, money A vector is a quantity which has both magnitude and direction. The magnitude of a vector is a scalar. Examples: Displacement, velocity, acceleration, electric field
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SCALARS AND VECTORS
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To distinguish between scalars and vectors we will denote scalars by lower case italic type such as a, b, c etc. and denote vectors by lower case boldface type such as u, v, w etc. In handwritten script, this way of distinguishing between vectors and scalars must be modified.
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scalars and vectors - School of Physics
www.physics.usyd.edu.au
SCALARS and VECTORS SCALAR QUANTITIES Physical quantities that require only a number and a unit for their complete specification are known as scalar quantities. mass of Pat m Pat = 75.2 kg Pat's temperature T Pat = 37.4 oC Pat's height h Pat = 1555 mm Symbols and subscript are a convenient way to identify the physical
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Intro to vectors and scalars (video) | Khan Academy
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· The difference between vectors and scalars. Introduction to distance, displacement, speed, and velocity.
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A Guide to Vectors and Scalars - Mindset Learn
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A Guide to Vectors and Scalars Teaching Approach Learners have little prior knowledge of vectors and scalars and will be introduced to these concepts for the first time in this topic. In this grade, learners focus on vectors in only one dimension. It is really important that they understand the concept of …
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Chapter 6 Vectors and Scalars - PBTE
pbte.edu.pk
Chapter 6 135 Vectors and Scalars Chapter 6 . Vectors and Scalars . 6.1 Introduction: In this chapter we shall use the ideas of the plane to develop a new mathematical concept, vector. If you have studied physics, you have encountered this concept in that part of physics concerned with forces and ...
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Introduction To Vectors And Scalars | Vectors And Scalars ...
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Scalars and vectors (ESAGI) Scalars are physical quantities which have only a number value or a size (magnitude). A scalar tells you how much of something there is. Scalar. A scalar is a physical quantity that has only a magnitude (size). For example, a person buys a tub of margarine which is labelled with a mass of \(\text{500}\) \(\text{g}\).
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Scalars And Vectors Grade 11 Physics | Notes | Khullakitab
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Scalars and vectors: Scalars are the physical quantities that can be represented by their magnitude. Examples of such physical quantities include mass, time, length, energy, temperature etc. All of these require a magnitude to be represented. For instance mass is represented by just expressing its magnitude in respective units, like 5 kg, time ...
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1.3 SCALARS AND VECTORS
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1.3 SCALARS AND VECTORS Introduction: Physics is the study of natural phenomena. The study of any natural phenomenon involves measurements. For example, the distance between the planet earth and the Sun is finite. The study of speed of light involves the …
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Vectors and scalars questions (practice) | Khan Academy
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Questions pertaining to vectors and scalars If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.
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Scalar and Vector - Definition, Examples, Differences ...
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Scalars and vectors are differentiated depending on their definition. A scalar quantity is defined as the physical quantity that has only magnitude, for example, mass and electric charge. On the other hand, a vector quantity is defined as the physical quantity that has both, magnitude as …
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Mechanics: Scalars and Vectors
www.iitg.ac.in
Mechanics: Scalars and Vectors • Scalar –Only magnitude is associated with it •e.g., time, volume, density, speed, energy, mass etc. • Vector –Possess direction as well as magnitude –Parallelogram law of addition (and the triangle law) –e.g., displacement, velocity, acceleration etc. • Tensor –e.g., stress (3 3 components) ME101 - Division III Kaustubh Dasgupta 1
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Scalars and Vectors
www.physicsclassroom.com
Scalars are quantities that are fully described by a magnitude (or numerical value) alone. Vectors are quantities that are fully described by both a magnitude and a direction. The remainder of this lesson will focus on several examples of vector and scalar quantities (distance, displacement, speed, …
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Scalars and Vectors - Physics Key
www.physicskey.com
The scalars are added or subtracted in the same way as adding or subtracting common numbers but this is not the case for vectors because we also need to consider the direction. The mass is a scalar quantity and you can directly add $5\text{kg}$ and $4\text{kg}$ to get the total mass $9\text{kg}$ but this is not applicable for vectors.
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2.3: Vectors, Scalars, and Coordinate Systems - Physics ...
phys.libretexts.org
· Other examples of vectors include a velocity of 90 km/h east and a force of 500 newtons straight down. Figure \(\PageIndex{1}\): The motion of this Eclipse Concept jet can be described in terms of the distance it has traveled (a scalar quantity) or its displacement in a …
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Scalars, Vectors and Tensors
zeus.plmsc.psu.edu
Scalars, Vectors and Tensors A scalar is a physical quantity that it represented by a dimensional num-ber at a particular point in space and time. Examples are hydrostatic pres-sure and temperature. A vector is a bookkeeping tool to keep track of two pieces of information (typically magnitude and direction) for a physical quantity. Examples are
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Scalars And Vectors Worksheets & Teaching Resources | TpT
www.teacherspayteachers.com
This product contains lesson plan for topics- Standard form (Scientific Form), Scalars & vectors, Finding the resultant of two vectors. These topics come under Physical Quantities, Units and Measurement (5054-GCSE Physics).
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Vectors and Plane Geometry - University of Hawaii
math.hawaii.edu
For the obvious reasons, we say that vectors are added, or multiplied with a scalar, coordinatewise. The operations can be applied also to vectors in R3, or vectors with any number of coordinates. Example 1.3. (1,2) +(5,2) = (6,4) & 3(2,7) = (6,21). For column vectors with three coordinates we have Example 1.4. 1 3 2 + 3 −2 7 = 4 1 9
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Vectors - Vectors and scalars - National 5 Physics ...
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Scalars have a size, while vectors have both size and direction. When adding vector quantities, it is possible to find the size and direction of the resultant vector by drawing a scale diagram.
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Vector Notes PDF: Download Here | Fullonstudy
www.fullonstudy.com
· Vectors & 3D for JEE Mains/Advance (₹229) We hope you like this post. More such posts on other topics are coming soon. All you have to do is just follow us on Facebook & Telegram for the latest updates. Related Posts: BSc 1st Year Physics Notes PDF: Download Here; BSc 1st year Important questions in Physics Free Download (Pdf)
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2.1 Scalars and Vectors - University Physics Volume 1 ...
openstax.org
When vectors lie in a plane—that is, when they are in two dimensions—they can be multiplied by scalars, added to other vectors, or subtracted from other vectors in accordance with the general laws expressed by Equation 2.1, Equation 2.2, Equation 2.7, and Equation 2.8. However, the addition rule for two vectors in a plane becomes more ...
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Vectors and scalars - Vectors and scalars - BBC Bitesize
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Scalars have a size, while vectors have both size and direction. When adding vector quantities, it is possible to find the size and direction of the resultant vector by drawing a scale diagram.
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Gridiron physics: Scalars and vectors - Michelle Buchanan ...
ed.ted.com
Scalars and Vectors: These types of measurement are used frequently in our everyday world. You saw the football play describing the application of scalars and vectors, now find out more about these types of measurements. Sports in Science (Exploratorium) Speed, Velocity and Acceleration: Speed is a scalar measurement, but velocity and acceleration are vector measurements.
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Scalars and Vectors - NASA
www.grc.nasa.gov
· Vectors have magnitude and direction, scalars only have magnitude. The fact that magnitude occurs for both scalars and vectors can lead to some confusion. There are some quantities, like speed, which have very special definitions for scientists. By definition, speed is the scalar magnitude of a velocity vector. A car going down the road has a ...
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Lesson 1.3: Vectors and Scalars - Introduction and Basic ...
www.coursera.org
Scalars have magnitude of size, but no direction. Vectors have both magnitude and a direction. Adding and subtracting scalars is simple. You've been doing it for years. All you have do is to remember to get the units right, then do the arithmetic. 3 seconds + 4 seconds = 7 seconds. Adding and subtracting vectors is more complicated.
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(PDF) VECTORS MULTIPLICATIONS | Rastko Vuković - Academia.edu
www.academia.edu
Mathematics knows a several ways the multiplication of two, three or more vectors , all explained here. The two multiplying of the first group are the scalar and vector product – named according to the results, or the dot and a cross product of the
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Vectors And Scalars Table of Contents | Siyavula
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Chapter 20: Vectors and scalars; 20.1 Introduction to vectors and scalars; 20.2 Graphical representation of vectors; 20.3 Properties of vectors; 20.4 Techniques of vector addition; 20.5 Chapter summary End of chapter exercises Practice this chapter
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SCALARS AND VECTORS
home.cc.umanitoba.ca
To distinguish between scalars and vectors we will denote scalars by lower case italic type such as a, b, c etc. and denote vectors by lower case boldface type such as u, v, w etc. In handwritten script, this way of distinguishing between vectors and scalars must be modified.
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Scalars and Vectors - LSU
www.phys.lsu.edu
Scalars and Vectors Scalars and Vectors A scalar is a number which expresses quantity. Scalars may or may not have units associated with them. Examples: mass, volume, energy, money A vector is a quantity which has both magnitude and direction. The magnitude of a vector is a scalar. Examples: Displacement, velocity, acceleration, electric field
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A Guide to Vectors and Scalars - Mindset Learn
learn.mindset.africa
A Guide to Vectors and Scalars Teaching Approach Learners have little prior knowledge of vectors and scalars and will be introduced to these concepts for the first time in this topic. In this grade, learners focus on vectors in only one dimension. It is really important that they understand the concept of a number line, and that
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Chapter 6 Vectors and Scalars - PBTE
www.pbte.edu.pk
137 Vectors and Scalars 7. Null or Zero Vector: It is a vector whose magnitude is zero. We denote the null vector by O. The direction of a zero vector is arbitrary. The vectors other than zero vectors are proper vectors or non-zero vectors. 8. Equal Vectors: Two vectors . a . …
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1.3 SCALARS AND VECTORS
kea.kar.nic.in
1.3 SCALARS AND VECTORS Introduction: Physics is the study of natural phenomena. The study of any natural phenomenon involves measurements. For example, the distance between the planet earth and the Sun is finite. The study of speed of light involves the distance traveled …
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2_Scalars_and_Vectors.pdf - 2 SCALARS AND VECTORS 2.0 ...
www.coursehero.com
3 2. Addition of vectors When adding two or more vectors together they must have the same units. Angles are measured relative to the east in an anti-clockwise manner. A force vector cannot be added to a displacement vector. Scalars obey the same rule. Methods by which vectors are added include: a. Geometric method Assume two vectors and.To add to first draw with its tail at the tip of.
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Physics Notes.pdf - Physics Foundations 1 Vectors and ...
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View Physics Notes.pdf from PHYS 201 at Texas A&M University. Physics Foundations 1. Vectors and Scalars Vectors - Have magnitude (size) and a direction Displacement is a vector quantity Velocity is
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SOWETO/DIEPKLOOF P.O.BOX 39067 BOOYSENS 2016
mrbscigladstone.files.wordpress.com
Physics Grade 11-12 / Vectors and Scalars 7 Question: Which of the six vectors at the right is / are A) resultants B) equilibrants Answer: A) The only resultant is f. It is the result of d and e. B) a, b and c are all equilibrants of the other two forces. SUMMARY If a body accelerates, there must be a resultant of the vectors …
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Introduction to vectors and scalars | Vectors and scalars ...
intl.siyavula.com
Scalars and vectors (ESAGI) Scalars are physical quantities which have only a number value or a size (magnitude). A scalar tells you how much of something there is. Scalar. A scalar is a physical quantity that has only a magnitude (size). For example, a person buys a tub of margarine which is labelled with a mass of \(\text{500}\) \(\text{g}\).
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Scalars, Vectors and Tensors
zeus.plmsc.psu.edu
Scalars, Vectors and Tensors A scalar is a physical quantity that it represented by a dimensional num-ber at a particular point in space and time. Examples are hydrostatic pres-sure and temperature. A vector is a bookkeeping tool to keep track of two pieces of information (typically magnitude and direction) for a physical quantity. Examples are
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PPT 1 Scalars and Vectors - BWSS SCIENCE CLASS
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Scalars and Vectors A Scalar quantity is one that has magnitude only. Example mass, length, time etc. A Vector quantity has both magnitude and direction. Example Force, velocity, acceleration etc. Module 1 3 Adding Vectors Two ways to add vectors: 1. Scale Drawing
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Scalars And Vectors Grade 11 Physics | Notes | Khullakitab
www.khullakitab.com
Scalars and vectors: Scalars are the physical quantities that can be represented by their magnitude. Examples of such physical quantities include mass, time, length, energy, temperature etc. All of these require a magnitude to be represented. For instance mass is represented by just expressing its magnitude in respective units, like 5 kg, time ...
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Vectors - Clemson University
people.cs.clemson.edu
Two nonparallel vectors always define a plane, and the angle is the angle between the vectors measured in that plane. Note that if both a and b are unit vectors, then kakkbk= 1, and ab = cos . So, in general if you want to find the cosine of the angle between two vectors a and b, first compute the unit vectors aˆ and bˆ in the directions of a ...
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Vector and Scalar - Definition, Vector Addition and ...
byjus.com
Scalars and vectors are differentiated depending on their definition. A scalar quantity is defined as the physical quantity that has only magnitude, for example, mass and electric charge. On the other hand, a vector quantity is defined as the physical quantity that has …
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Scalars and Vectors - Physics
www.physicsclassroom.com
Scalars are quantities that are fully described by a magnitude (or numerical value) alone. Vectors are quantities that are fully described by both a magnitude and a direction. The remainder of this lesson will focus on several examples of vector and scalar quantities (distance, displacement, speed, …
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Vector space - Wikipedia
en.wikipedia.org
A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.Scalars are often taken to be real numbers, but there are also vector spaces with scalar multiplication by complex numbers, rational numbers, or generally any field.The operations of vector addition and scalar multiplication ...
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1 - Introduction to Vectors
www.ms.uky.edu
Vector Equality: Two vectors and are equal if and only if and . 2. Vector Addition: The sum of the vectors and is defined by. 3. Scalar Multiplication: Suppose is a vector and . Then the scalar product of is defined by. Example Find the sum of the following vectors. 1. , 2. , 3. ,
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Scalars And Vectors Grade 11 Physics Question Answer ...
www.khullakitab.com
The scalar product between two vectors is zero if the vectors are perpendicular to each other. The vector product between two vectors is zero if the vectors are parallel to each other. 19. The magnitude of scalar product of two vectors ${\rm{\vec A}}$ and ${\rm{\vec B}}$ is AB cosθ. 20.
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Vectors and scalars questions (practice) | Khan Academy
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Practice: Vectors and scalars questions. This is the currently selected item. Intro to vectors and scalars. Visualizing vectors in 2 dimensions. Unit vector notation. Unit vector notation (part 2) …
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2.2: Scalars and Vectors (Part 1) - Physics LibreTexts
phys.libretexts.org
Vectors can be multiplied by scalars, added to other vectors, or subtracted from other vectors. We can illustrate these vector concepts using an example of the fishing trip seen in Figure \(\PageIndex{5}\). Figure \(\PageIndex{5}\): Displacement vectors for a fishing trip.
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Vectors and scalars - Vectors and scalars - National 5 ...
www.bbc.co.uk
Scalars have a size, while vectors have both size and direction. When adding vector quantities, it is possible to find the size and direction of the resultant vector by drawing a scale diagram.
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Scalars And Vectors Worksheets & Teaching Resources | TpT
www.teacherspayteachers.com
Scalar and Vector Learning Targets•I know the variable and unit for velocity, time, and displacement•I understand the difference between scalars and vectors•I can calculate the distance and displacement of an object that moves along a straight line path•I can calculate the speed and velocity of an o
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Difference between Vectors and Scalars - physicsabout
physicsabout.com
· The basic difference between vectors and scalars is that scalar quantity is described completely by its magnitude only while vector quantity is described by magnitude and direction. Speed, energy, power are few scalar quantity examples. Force, velocity, and acceleration are some vector quantity examples.
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Scalars and Vectors | Teaching Resources
www.tes.com
A full lesson covering scalars, vectors and the speed equation, including applying scalar/vector principles to this equation. The lesson is differentiated for all lessons with progress measures in place. A lesson plan is included, although this can be easily adapted.
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Intro to vectors and scalars (video) | Khan Academy
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Intro to vectors and scalars. Google Classroom Facebook Twitter. Email. Physics foundations. Introduction to physics. Preparing to study physics. Intro to vectors and scalars. This is the currently selected item. Next lesson. Distance, displacement, and coordinate systems. Video transcript.
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Chapter 4 Vector Spaces
mandal.ku.edu
2. Given two vectors u = (u1,u2) and v = (v1,v2), we define vector addition u+v = (u1 +v1,u2 +v2). See the diagram in the textbook, page 180 for geometric interpre-tation of vector addition. 3. For a scalar c and a vector v = (v1,v2) define cv = (cv1,cv2) See the diagram in the textbook, page 181 for geometric interpre-tation of scalar ...
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Scalars and Vectors: Definition, Types, Concepts, Videos ...
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People Also Ask
Scalars and Vectors A scalar is a number which expresses quantity. Scalars may or may not have units associated with them. Examples: mass, volume, energy, money A vector is a quantity which has both magnitude and direction. . Read more ››
These two categories can be distinguished from one another by their distinct definitions: Scalars are quantities that are fully described by a magnitude (or numerical value) alone. Vectors are quantities that are fully described by both a magnitude and a direction. . Read more ››
A few examples of these include force, speed, velocity, and work. These quantities are often described as being a scalar or a vector quantity. Scalars and vectors are differentiated depending on their definition. . Read more ››
Scalars may or may not have units associated with them. Examples: mass, volume, energy, money A vector is a quantity which has both magnitude and direction. The magnitude of a vector is a scalar. Examples: Displacement, velocity, acceleration, electric field. . Read more ››
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Vectors And Scalars Mathematics Pdf
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