Which of the following equals $\mathbf{A} imes\mathbf{B}$ for $\mathb…

Question

Which of the following equals $\mathbf{A}	imes\mathbf{B}$ for $\mathbf{A}=\langle 1,2,0angle$ and $\mathbf{B}=\langle 3,-1,4angle$?

Accepted Answer

A. $\langle 8,-4,-7angle$

Using $\mathbf{A}	imes\mathbf{B}=\langle A_2B_3-A_3B_2,\ A_3B_1-A_1B_3,\ A_1B_2-A_2B_1angle$, we get $\langle 2\cdot 4-0\cdot(-1),\ 0\cdot 3-1\cdot 4,\ 1\cdot(-1)-2\cdot 3angle=\langle 8,-4,-7angle$. A common mistake is reversing the order, which would change the sign.

Answer

$\langle -8,4,7\rangle$

Answer

$\langle 8,4,-7\rangle$

Answer

$\langle -8,-4,7\rangle$

Which of the following equals $\mathbf{A}\times\mathbf{B}$ for $\mathbf{A}=\langle 1,2,0\rangle$ and $\mathbf{B}=\langle 3,-1,4\rangle$?