Hello,
\(proj_{\vec{w}} (\vec{v})= \dfrac{\vec{v} \times\vec{w}}{||\vec{w}||^2} * \vec{w}\\\\
=\dfrac{(2*\vec{i}+3*\vec{j})\times(4*\vec{i}-2*\vec{j})}{8} *(4*\vec{i}-2*\vec{j})\\\\
= \dfrac{2}{8} *(4*\vec{i}-2*\vec{j})\\\\
=\vec{i}- \dfrac{\vec{j}}{4}\)
