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Question

Component of vector A=3^i+2^j+^k perpendicular to vector B=^i2^j is

A
165^i+85^j+^k
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B
5^i+2^j+^k
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C
^k
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D
35^i+25^j^k
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Solution

The correct option is A 165^i+85^j+^k

C=AA cos θ^B=AA.BB×BB=AA.BB2B
A.B=34=1, B=5
C=3^i+2^j+^k(1)5(^i2^j)=3^i+2^j+k+^i525^j=165^i+85^j+k

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