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Question

IfA×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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