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Q. 1

Found in: Page 879


Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861

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Short Answer

Unit vectors: If v is a nonzero vector, explain why v|v| is a unit vector.

By definition of a unit vector if v is a nonzero vector then vv is a unit vector.

See the step by step solution

Step by Step Solution

Step 1. Given Information.

It is given that v is a non-zero vector.

Step 2. Explanation.

A unit vector is defined as the vector that has a magnitude equal to 1 and its formula is u=vv.

If v is a non-zero vector and we divide it by its magnitude, then by the definition of a unit vector it is also a unit vector.

Thus, vv=u.

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