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Question

If vector a=2^i3^j+6^k and vector b=2^i+2^j^k, then ratio of projection of a on vector b to projection of b on a is equal to

A
37
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B
73
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C
3
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D
7
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Solution

The correct option is B 73
|a|=22+32+62=49=7
|b|=22+22+12=9=3
From the condition the ratio will be equal to
Ratio =abbb.aa (i)
Since we know, dot product is commutative a.b=b.a
Putting in equation (i), we have
Ratio =|a||b|=73

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