What is the projection of $2\hat{i} + 3\hat{j} + 2\hat{k}$ on $\hat{i} + 2\hat{j} + \hat{k}$?

Explanation

1. 01

   Projection of $\vec{a}$ on $\vec{b}$ $= \frac{\vec{a} \cdot \vec{b}}{\lvert \vec{b} \rvert}$.

2. 02

   $\frac{2 + 6 + 2}{\sqrt{6}} = \frac{10}{\sqrt{6}} = \frac{5\sqrt{6}}{3}$.