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Question

Component of 3^i+4^j perpendicular to ^i+^j and in the same plane as that of 3^i+4^j is

A
12(^i+^j)
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B
13(^i^j)
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C
14(^i+^j)
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D
15(^i^j)
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Solution

The correct option is A 12(^i+^j)
We know that component of A perpendicular to B is A(A.B)B|B|2


Component of 3^i+4^j perpendicular to (^i+^j) is
(3^i+4^j)((3^i+4^j).(^i+^j))^i+^j|^i+^j|2=(3^i+4^j)7(^i+^j)22=(3^i+4^j)7(^i+^j)2=(^i+^j)2


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