Find the following for the vectors $u=-5i-10j+\sqrt[\phantom{2}]{2}k$ and $v=5i+10j-\sqrt[\phantom{2}]{2}k.$

a$.v*u,|v|,$ and $|u|$

b$.$ the cosine of the angle between $v$ and $u$

c$.$ the scalar component of $u$ in the direction of $v$

d$.$ the vector pro${}_{}$jVu