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Problem

Find a vector a with representation given by the …

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Problem 13 Easy Difficulty

Find a vector a with representation given by the directed line segment $ \vec{AB} $. Draw $ \vec{AB} $ and the equivalent representation starting at the origin.

$ A (0, 3, 1), B (2, 3, -1) $


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Alan Ghazarians

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Jacquelyn Trost

Related Courses

Calculus 3

Calculus: Early Transcendentals

Chapter 12

Vectors and the Geometry of Space

Section 2

Vectors

Related Topics

Vectors

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Vectors Intro

In mathematics, a vector (from the Latin word "vehere" meaning "to carry") is a geometric entity that has magnitude (or length) and direction. Vectors can be added to other vectors according to vector algebra. Vectors play an important role in physics, engineering, and mathematics.

Video Thumbnail

11:08

Vector Basics Overview

In mathematics, a vector (from the Latin word "vehere" which means "to carry") is a geometric object that has a magnitude (or length) and direction. A vector can be thought of as an arrow in Euclidean space, drawn from the origin of the space to a point, and denoted by a letter. The magnitude of the vector is the distance from the origin to the point, and the direction is the angle between the direction of the vector and the axis, measured counterclockwise.

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Watch More Solved Questions in Chapter 12

Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46
Problem 47
Problem 48
Problem 49
Problem 50
Problem 51
Problem 52

Video Transcript

in this problem we are asked to find a vector A. With the representation given by directed line segment ab and draw A B. And a bit better. And equivalent representation is starting at the origin. That is A. It is as a 031. And this is B to T My lesson. So vector representation is nothing but this is given by this is I. This is zero. That means I G. Yes, yes, yes. Okay, monday. So no B is better if he is given by simply to I blessed today G minus one game. Okay, so here A B is given by better, A B is given by nothing but better be minus vector. So this will be what we've been just minus this To Wipe List three G -1 key. This will we can just mind minus it. This will give us Today G This one key. Hell great. So this will give us do I? Plus this will be zero and this will also be zero. So this will be too high. Yeah. So the vector representation becomes here this is for a Right, this is for A. This is for B. And this is too I. That means to this isn't the spirit all their grand use that zero. So this will be represented as this is A B. Here. Mhm. Right. So this is said, this is why this is next. So this is how with all this problem, I hope you understood the concept. Thank you for watching

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Calculus: Early Transcendentals

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Vectors

Top Calculus 3 Educators
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Video Thumbnail

11:08

Vector Basics Overview

In mathematics, a vector (from the Latin word "vehere" which means "to carry") is a geometric object that has a magnitude (or length) and direction. A vector can be thought of as an arrow in Euclidean space, drawn from the origin of the space to a point, and denoted by a letter. The magnitude of the vector is the distance from the origin to the point, and the direction is the angle between the direction of the vector and the axis, measured counterclockwise.

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