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Chapter 9: Q. 35 (page 613)

Prove property5,0·v=0.

Short Answer

Expert verified

It is proved that0·v=0.

Step by step solution

01

Step 1. Given Information 

We have to prove the property that0·v=0.

02

Step 2. Proving 

To prove the property let v=xi+yj

Now, we know the dot product of two vectors is role="math" localid="1646825639826" u·w=a1a2+b1b2where u=a1i+b1jw=a2i+b2j

So,

0·v=0·x+0·y=0

Hence proved.

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