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The vector triple production vecA xx (v...

The vector triple production `vecA xx (vecB xx vecC)` will be zero if :

A

`vecB= vecC`

B

`vecA, vecB` and `vecC` are mutually perpendicular

C

`vecA, vecB` and `vecC` are coplanar vectors

D

`vecA, vecB ` and `vecC` are collinear vectors

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
If `vecB = vecC`, then `vecB xx vecC = 0 rArr vecA xx(vecB xx vecC)=0`
If `vecA, vecB` and `vecC` are mutually perpendicular , then `vecA. vecC ` and f `vecB. vecA` both are zero.
`therefore" "vecA xx (vecB xx vecC)=vecB(vecA. vecC)- vecC( vecB . vecA)=0`
If `vecA,vecB` and `vecC` are colliner, `vecB xx vecC =0`
Hence, `vecA xx (vecB xx vecB ) = 0`
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