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Question

# If→A×→B=→C+→D, then select the correct alternative:

A

B is parallel to C+D

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B

A is perpendicular to C

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C

Component of C along A= component of D along A

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D

Component of C along A= - component of D along A

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Solution

## The correct option is D Component of →C along →A= - component of →D along →A According to definition of cross-product →C+→D is perpendicular to both →A and →B i.e. →A.(→C+→D)=0 or →A.→C+→A.→D=0 or A(component of →C along →A) + A(component of →D along →A) = 0 or component of →C along →A = -component of →D along →A

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