If three vectors xa→−2b→+3c→ , −2a→+yb→−4c→  and −zb→+2c→  are coplanar, where a→ , b→  and c→  are unit (or any) vectors, then:

Conditions of coplanarity, coplanar vectors have scalar triple product as zero A→.(B→×C→)=0 or |x−23−2y−40−z2|=0 or x(2y−4z)+2(−4−0)+3(2z−0)=0 or 2xy−4zx−8+6z=0 or xy−2zx+3z−4=0