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If veca = hati+hatj-2hatk, vecb=2hati-3h...

If `veca = hati+hatj-2hatk, vecb=2hati-3hatj+hatk` the value of `(2veca+3vecb) . (2vecbxx3veca)` is :

A

`-4`

B

`16`

C

`10`

D

None

Text Solution

Verified by Experts

The correct Answer is:
D
If `veca=hati+hatj-2hatk` ………
`(2veca+3vecb)` is in the same plane p as that of `veca & vecb`
`(2vecbxx3veca)` is `_|_^(r )` to the plane of `veca & vecb`
Therefore `(2veca+3vecb). (2vecbxx3veca)= 0`
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