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

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00:35

Alan Ghazarians

Calculus 3

Chapter 12

Vectors and the Geometry of Space

Section 2

Vectors

Johns Hopkins University

Missouri State University

Campbell University

Baylor 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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Find a vector with represe…

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Mhm. For the human problem, we want to find a vector with the representation given by the line segment. Maybe. So. First you want to find the line segment maybe Knowing that a. 32 And B is 10. So it's going to create this line segment right here. And keep in mind if we turn this into a vector. Um Since this is be as 10 When we bring this down 12 units and left 12 units, we see that our new vector is going to also be With our starting point at the origin. 1, 2 units down, 1, 2 units left. So this right here is our new vector. The vector is going to be negative. Too negative two. That's your final answer.

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