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Question

Given a=^i+^j^k,b=^i+2^j+^k and c=^i+2^i^k.A unit vector perpendicular to both a+b & b+c is

A
2^i+^j+^k6
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B
^j
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C
^k
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D
^i+^j+^k3
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Solution

The correct option is C ^k
a+b=3^j
b+c=2^i+4^j

(a+b)×(b+c)=6^k

|(a+b)×(b+c)|=6

(a+b)×(b+c)|(a+b)×(b+c)|=^k

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