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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 (-2, 1), B (1, 2) $

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$$<3,1>$$

00:49

Alan Ghazarians

Calculus 3

Chapter 12

Vectors and the Geometry of Space

Section 2

Vectors

Johns Hopkins University

Campbell University

Oregon State University

Boston College

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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Find a vector with represe…

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03:24

Mhm. For this problem, we want to draw the given vector, it's going to be a is -2, one, so negative to one. We'll zoom in here, so negative to one and then Our Point B is 12. So if we drew this factor right here, we see that we have to go um up one and over 123 So this is the same thing as the vector that goes up 1/1 23 So this is the same thing as this factor. And we see that that vector is going to be uh in component form 31 We could also put it into unit vector notation, which is going to be three, I the factor I, class J. And that's our final answer.

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