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

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

Originally Posted by szpengchao

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

Do you mean $\displaystyle a \cdot (b \times c) = 0$ or $\displaystyle a \cdot (b \times c) \neq 0$?

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