# Thread: a.(bXc) not equal 0 implies linearly independent?

1. ## a.(bXc) not equal 0 implies linearly independent?

A.(BXC) /= 0, must a,b,c be linearly independent?

2. Originally Posted by szpengchao
A.(BXC) /= 0, must a,b,c be linearly independent?
Do you mean $a \cdot (b \times c) = 0$ or $a \cdot (b \times c) \neq 0$?

Either way if a,b,c lie in the same 2 dimensional plane, then $a \cdot (b \times c) = 0$. Can you see that?