## Related questions with answers

Question

Compute the following cross products. Then make a sketch showing the two vectors and their cross product. $- \mathbf { j } \times \mathbf { k }$

Solution

VerifiedStep 1

1 of 4The magnitude of a cross product of vectors $\mathbf u$ and $\mathbf v$ is defined as

$|\mathbf u \times \mathbf v|=|\mathbf u| |\mathbf v| \sin \angle (\mathbf u, \mathbf v)$

The vector $\mathbf u \times \mathbf v$ is orthogonal to both vectors $\mathbf u$ and $\mathbf v$. Its direction is determined by the right-hand rule, which means, when putting $\mathbf u$ and $\mathbf v$ to start at the same point and let the fingers of a right hand to curl from $\mathbf u$ to $\mathbf v$, the thumb points to the direction of a cross product $\mathbf u \times \mathbf v$.

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