Find the angle between two vectors ` vec a\ a n d\ vec b ,` if `| vec axx vec b|= vec adot vec bdot`

Explanation

Let `theta` be the angle between ` vec{a}` and `vec{b}`.

Given :


`|vec{a} times vec{b}|=vec{a} cdot vec{b} `

`Rightarrow|vec{a}||vec{b}| sin theta=|vec{a}||vec{b}| cos theta `

`Rightarrow sin theta=cos theta `

`Rightarrow tan theta=1 `|

`Rightarrow theta=frac{pi}{4}`