Question

Hey, I've got vector problems I'm stuck on; someone help me please!!! My question is "Find the projection of v=2i+3j in the direction of w=4i-2j." I don't know what I should do here...... If someone helps me out, please show me how to do it! Thanks!

Answer 1

Hello,



`proj_{\vec{w}} (\vec{v})= \frac{\vec{v} *\vec{w}}{||\vec{w}||^2} * \vec{w}\\\\ =\frac{(2*\vec{i}+3*\vec{j})*(4*\vec{i}-2*\vec{j})}{8} *(4*\vec{i}-2*\vec{j})\\\\ = (2)/(8) *(4*\vec{i}-2*\vec{j})\\\\ =\vec{i}- \frac{\vec{j}}{4}`