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Given three vectors veca, vecb and vecc ...

Given three vectors `veca, vecb` and `vecc` are non-zero and non-coplanar vectors. Then which of the following are coplanar.

A

`veca+vecb, vecb+vecc,vecc+veca`

B

`veca-vecb,vecb+vecc,vecc+veca`

C

`veca+vecb,vecb-vecc,vecc-veca`

D

`veca+vecb,vecb+vecc,vecc-veca`

Text Solution

Verified by Experts

The correct Answer is:
B, D
`vecc+veca=(vecb+vecc)+(veca-vecb)`
`veca+vecb=(vecb-vecc)+(vecc+veca)`
`vecb+vecc=(veca+vecb)+(vecc-veca)`
So vectors in option (b), (c ) and (d) are coplanar.
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