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Chapter 10: Q. 11 (page 823)

If u脳v=uv, what is the geometric relationship between u and v?

Short Answer

Expert verified

The vectors u and v are orthogonal.

Step by step solution

01

Step 1. Given Information 

If u脳v=uv, what is the geometric relationship between u and v?

02

Step 2. As we know u×v=uvsinθ

If u脳v=uvthen

sin胃=1胃=90o

Then the relation between u and v, u脳vis perpendicular to any plane containing both u and v.

The vectors u and v are orthogonal.

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