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Chapter 9: Q. 63 (page 628)

If u路v=0and u脳v=0, what, if anything, can you conclude about u and v.

Short Answer

Expert verified

We can conclude that at least one of the vectorsu,v=0or have an angle of900,00between them.

Step by step solution

01

Step 1. Dot product

We know,

u路v=uvcos胃

For u路v=0,

Eitheru=0v=0cos胃=0鈬�胃=900

02

Step 2. Cross Product

We know,

u脳v=uvsin胃

As given,

For u脳v=0鈬�u=0or鈬�v=0or鈬�sin胃=0or胃=900

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