Question

Given u = −9i − 4j and v = −11i − 8j, what is projvu?

Answer 1

Hi,

9.631311549....

Explanation:

`\vec{u}=-9*\vec{i}-4*\vec{j}\\\vec{v}=-11*\vec{i}-8*\vec{j}\\\\\vec{u}.\vec{v}=(-9)*(-11)+(-4)*(-8)=99+32=131\\\\||\vec{v}||=√((-11)^2+(-8)^2) =√(185) \\\\proj\ _{\vec{v}}\ \vec{u}=\frac{\vec{u}.\vec{v}}{||\vec{v}||} =(131)/(√(185)) =9.631311549...\approx{9.63}`