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Question

If a=4^i+6^j and b=3^j+4^k, then the component of a along b is

A
18103(3^j+4^k)
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B
1825(3^j+4^k)
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C
183(3^j+4^k)
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D
(3^j+4^k)
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Solution

The correct option is B 1825(3^j+4^k)
Unit vector along b is
b|b|=35^j+45^k
Magnitude of a along b is
a.ˆb=185=m
Hence component along b is m(ˆb)

=185[35^j+45^k]

=1825[3^j+4^k]

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