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If vecA xx vecB = vecC+ vecD, them selec...

If `vecA xx vecB = vecC+ vecD`, them select the correct alternative:

A

`vecB` is parallel to `vecC + vecD.`

B

`vecA` is perpendicular to `vecC.`

C

Component of `vecC` along `vecA` = component of `vecD` along `vecA`

D

Component of `vecC` along `vecA =` - component of `vecD` along `vecA`

Text Solution

Verified by Experts

The correct Answer is:
D
According to definition of cross-product `vec(C)+vec(D)` is perpendicular to both `vec(A)andvec(B)`
i.e., `vec(A).(vec(C)+vec(D))=0orvec(A). vec(C)+vec(A).vec(D)=0`
or A (component of `vec(C)` along `vec(A)`) + A(component of `vce(D)` along `vec(A)`)=0
or component of `vec(C)` along `vec(A)` =- component of `vec(D)` along `vec(A)`
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