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Question

Let a=2^i3^j+6^k and b=2^i+3^j^k then projection of a on b: projection of b on a=

A
3:7
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B
7:3
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C
4
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D
3
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Solution

The correct option is A 7:3
Projection of a on b
= scalar components of a along b
=a.bb
Projection of b on a
= scalar components of b along a
=a.ba
Ratio =a.bb:a.ba
=a:b=7:3
wherea=4+9+36=49=7
b=4+4+1=9=3
Thus, the ratio is 7:3

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