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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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00:38

Alan Ghazarians

03:16

Jacquelyn Trost

Calculus 3

Chapter 12

Vectors and the Geometry of Space

Section 2

Vectors

Campbell University

Oregon State University

Harvey Mudd College

Idaho State University

Lectures

02:56

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.

11:08

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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Find a vector a with repre…

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Find vector with represent…

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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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