I had a question in the final exam that asked what the angle between vectors a and b is if: $$\vec a \cdot \vec b=|\vec a\times\vec b| $$
Any hints please.
I had a question in the final exam that asked what the angle between vectors a and b is if: $$\vec a \cdot \vec b=|\vec a\times\vec b| $$
Any hints please.
It is not hard to show that $$\|u\times v\| = \|u\|\|v\| \sin(\theta),$$ where $\theta\in[0,\pi]$ is the angle between $u$ and $v$. This should lead you right to a solution.