Question

Find the cross product of the unit vectors.
j x k.

Answer 1

i j k
0 1 0
0 0 1

Answer 2

Using a cofactor expansion to find the determinant:
\[\begin{vmatrix}\vec{i}&\vec{j}&\vec{k}\\0&1&0\\0&0&1\end{vmatrix}=\vec{i}\begin{vmatrix}1&0\\0&1\end{vmatrix}+(-1)\vec{j}\begin{vmatrix}0&0\\0&1\end{vmatrix}+\vec{k}\begin{vmatrix}0&1\\0&0\end{vmatrix}\]

Answer 3

Clearly, the last two determinants are just zero, so you're left with \(\vec{i}\).

Answer 4

i just follow right hand screw rule

Answer 5

Thank you for your help! I appreciate it!