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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

`a+b,b+c,c+a`

B

`a-b,b+c,c+a`

C

`a+b,b-c,c+a`

D

`a+b,b+c,c-a`

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
`c+a(b+c)+(a-b)`
`a+b=(b-c)+(c+a)`
`a+c=(a+b++(c-a)`
So, vectors in options (b), (c) and (d) are coplanar.
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