A little question on cross product.
For vectors $\mathbf{a},\mathbf{b} \in V_3$, does the property go $\mathbf{a} \times \mathbf{b}=-\mathbf{b} \times \mathbf{a}$ or $\mathbf{a} \times \mathbf{b}=-(\mathbf{b} \times \mathbf{a})$?

Question

mathslover · Answer

a*b = -ab or ab = -(ba) .... this is false .

unklerhaukus · Answer

the two if the question are equivalent

anonymous · Answer

same thing u wrote... nothing change

unklerhaukus · Answer

$$\alpha \mathbf a \times \mathbf b=\alpha( \mathbf  a\times \mathbf b)$$
where   $\alpha\in\mathbb R$

blockcolder · Answer

Ah, so in this case, $\alpha=-1$. Thanks for that! I was a little confused.

unklerhaukus · Answer

that is right

anonymous · Answer

agree wid unkle, the "-"sign will shift with wid.... its hvnt any problm.... all same

anonymous · Answer

with "b"... sorry*

maheshmeghwal9 · Answer

http://www.physicsforums.com/showthread.php?t=318030