**Brief**  

Given 2 non-parallel vectors: **a** and **b**, is there any way by which I may rotate **a** about **b** such that **b** acts as the axis about which **a** is rotating? 

**Question**  

*Given*: vector **a** and **b**  

*To find*: vector **c** where **c** is produced by rotating **a** about **b** by an angle **θ** clockwise given by right hand thumb rule.  

**Edit: There is a problem with the image! it was supposed to be rotated clockwise by right hand thumb rule unlike how it is shown in the image (but there shouldn't be much of a difference in the solution).**
![enter image description here](https://i.stack.imgur.com/l7WSM.png)

***Right hand thumb rule***: "Wrap the fingers of your right hand around vector **b** such that your thumb points in the direction of vector **b**. Then, the direction of curvature of the rest of your fingers will indicate the direction **a** will be rotated about **b**"