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Chapter 9: Q. 3 (page 612)

If v·w=0, then the two vectorsvandw are ____.

Short Answer

Expert verified

If v·w=0, then the two vectors vandw are orthogonal.

Step by step solution

01

Step 1. Given Information  

We are given an incomplete statement about the dot product.

We have to complete the given statement

02

Step 2. Completing the Statement 

The dot product is given by,

v·w=vwcosθ

If role="math" localid="1646828138762" v·w=0, then

vwcosθ=0cosθ=0θ=π2

That means the vectors are orthogonal.

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