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Question

c is a unit Vector orthogonal to a, b where a, b, are a=^i+^j+^k, b=2^j+2^k, then c=

A
^i+^j2
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B
^j+^k2
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C
^i^k2
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D
^k^j2
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Solution

The correct option is C ^k^j2
c=a×b|a×b| as (a,b,c are R.H.S)

a×b=∣ ∣ ∣^i^j^k111022∣ ∣ ∣=2^j+2^k

|a×b|=22

^c=^k^j2

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