What is the projection of $3\hat{i} + 4\hat{j}$ on $2\hat{i} - \hat{j} + 2\hat{k}$?

Explanation

1. 01

   $\vec{a} \cdot \vec{b} = 6 - 4 + 0 = 2$, and $\lvert \vec{b} \rvert = 3$.

2. 02

   Projection $= \frac{2}{3}$.