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If `vec(A)xxvec(B)= vec(C )+vec(D)`, then select the correct alternative.A. `vec(B)` is parallel to `vec(C )+vec(D)`B. `vec(A)` is perpendicualr to `vec(C )`.C. Components of `vec(C )` along `vec(A)`= component of `vec(D)` along `vec(A)`D. Component of `vec(C )` along `vec(A)`= -component of `vec(D)` along `vec(A)` |
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Answer» Correct Answer - D According to defination of cross- product `vec(C )+vec(D)` is perpendicualr to both `vec(A)` and `vec(B)`. i.e., `vec(A).(vec(C )+vec(D))=0` or `vec(A).vec(C )+vec(A).vec(D)=0` or A(component of `vec(C )` along `vec(A)`)+A(component of `vec(D)` along `vec(A))=0` or component of `vec(C )` along `vec(A)`= -component of `vec(D)` along `vec(A)` |
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