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Question

The components of a vector a along the perpendicular to the non-zero vector b are respectively

A
ab|a|,|a×b||a|
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B
ab|b|,|a×b||b|
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C
ab|a|,|a.b||a|
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D
a×b|a|,|a×b||b|
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Solution

The correct option is B ab|b|,|a×b||b|
The component of a along b
=acosθ where θ is the angle between a and b
Hence acosθ
=a.b|b| ...(i)

Similarly, the component of a perpendicular to b
=asinθ where θ is the angle between a and b
Hence asinθ
=|a×b||b|

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