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Write each combination of vectors as a single vector.(a) $ \vec{AB} + \vec{BC} $ (b) $ \vec{CD} + \vec{DB} $(c) $ \vec{DB} - \vec{AB} $ (d) $ \vec{DC} + \vec{CA} + \vec{AB} $

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01:18

Carson Merrill

Calculus 3

Chapter 12

Vectors and the Geometry of Space

Section 2

Vectors

Johns Hopkins University

Oregon State University

Idaho 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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uh we have a question. Okay innovative. In a defiant the end position of the vectors. Okay, combination victor A single victor. We should write a single victim. So a B victor less Bc victor. This is just like if this is ap and then this is A. B. C. So definitely this is and the resultant of the A. C. Will be resultant. A baby plus busy written as this. So this will be simply seven. Okay. Barbie, is he did that less the B victor. So similarly as we have done here, A B victor? A city victor. So if this is the this is the cd vector plus db victor. So this is gonna be CB victor. CB victim. But seeing db victim minus a B victor. So this could build an as dp victor bless minus be evicted because a B victor is always equal to minus B. A victor by changing the direction. Okay uh here we should write minus so D. B. Vector plus B. A vector which means be a victim. So the victim should be there answer. Okay the is D. C. Victor plus evicted it was a B victor. So let us draw if this is D. This is C. So D. C victor bless. Ah see a victor because at this point and the point of this is the starting point of this. Now A B victor. So this is definitely gonna be db victor. Okay so these are the answers thanks

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