I'm a little confused on this problem. The Question asks to find the cross product, $a \times b$.
$a = \langle 6,0,-2\rangle\text{ and }b = \langle 0,8,0\rangle$
The formula that is given in my text book is $a \times b = \langle a_2 b_3 - a_3 b_2, a_3 b_1 - a_1 b_3, a_1 b_2 - a_2 b_1\rangle$
And I get $\langle 16, -8, 48\rangle$
However, the book says that the answer is $16i + 48k$? How are they getting that? Could someone tell me what I doing wrong, and also what exactly the cross product is supposed to be. I understand that is is a vector product, but can someone explain that in more details?
Thanks in advance.