Let ` vec a , vec ba n d vec c ,` be non-zero non-coplanar vectors. Prove that: ` vec a-2 vec b+3 vec c ,-2 vec a+3 vec b-4 vec ca n d vec c-3 vec b+5 vec c` are coplanar vectors. `2 vec a- vec b+3 vec c , vec a+ vec b-2 vec ca n d vec a+ vec b-3 vec c` are non-coplanar vectors.

Explanation

`vecP(vec a-2vec b+3vec c)`


`vec Q=(-2veca+3vecb-4vecc)`


`vec k(veca-3vecb+5vecc)`


Now, for coplanar:-


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