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Chapter 11: Q. 1 (page 879)

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

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Given Information.

It is given thatvis a non-zero vector.

02

Step 2. Explanation.

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

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