The value of veca.(vecb+vecc)xx(veca+vec...

The value of `veca.(vecb+vecc)xx(veca+vecb+vecc)`, is

A

`2[veca vecb vecc]`

B

`[veca vecb vecc]`

C

0

D

None of these

Text Solution

Verified by Experts

The correct Answer is:

C

We have
`veca+vecb+vecc=veca+(vecb+vecc)`
`implies veca, vecb+vecc` and `veca+vecb+vecc` are coplanar
`impliesveca.(vecb+vecc)xx(veca+vecb+vecc)=0` i.e. `[(veca, vecb+c, veca+vecb+vecc)]=0`

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