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vecA and vecB are two vectors. (vec...

`vecA and vecB` are two vectors. `(vecA + vecB) xx (vecA - vecB)` can be expressed as :

A

`2(vecB xx vecA)`

B

`-2(vecB xx vecA)`

C

`vecB xx vecA`

D

`vecA xx vecB`

Text Solution

Verified by Experts

The correct Answer is:
A
`(vec(A)+vec(B))xx(vec(A)-vec(B))`
`=vec(A)xxvec(A)-vec(A)xxvec(B)+vec(B)xxvec(A)-vec(B)xxvec(B)`
`=vec(B)xxvec(A)+vec(B)xxvec(A)=2(vec(B)xxvec(A))`
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Knowledge Check

  • If two non-parallel vectors vecA and vecB are equal in magntiude, them vectors (vecA - vecB) and (vecA + vecB) will be :

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