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Question

If b=3^i+4^j and a=^i^j the vector having the same magnitude as that of b and parallel to a is

A
52(^i^j)
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B
52(^i+^j)
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C
5(^i+^j)
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D
5(^i^j)
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Solution

The correct option is D 52(^i^j)
Given that,
a=3ˆi+4ˆjb=3ˆi+4ˆj
ˆa=ˆiˆj2b=5c=52(ˆiˆj)
is vector parallel to a and magnitude as that of b.
Then,
Option A is correct answer.

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