    Question

# Assertion :A component of vector →b=4ˆi+2ˆj+3ˆk in the direction perpendicular to the direction of vector →a=ˆi+ˆj+ˆk is ˆi−ˆj. Reason: A component of vector in the direction of ^a=ˆi+ˆk is 2ˆi+2ˆj+2ˆk.

A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
Assertion is incorrect but Reason is correct
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Solution

## The correct option is C Assertion is correct but Reason is incorrectComponent of →b in direction of →a is |→b|cosθ^a where θ is the angle between →a and →b.cosθ=4+2+3√72Thus, component along →a=(√29)9√87^i+^j+^k√3=3(^i+^j+^k)So, component in perpendicular direction of ^a is ^b−3(^i+^j+^k)=^i−^j.  Suggest Corrections  0      Similar questions  Related Videos   Vector Product
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