Question

Calculate the scalar product of the following vectors.
Being given vectors p and q on which a parallelogram is constructed, use them to express the vector which coincides with the altitude of the parallelogram, which is perpendicular to the side p.

Answer 1

$a$ is the projection of $q$ on $p$ which is given by $a=\frac{q.p}{p.p}p$

Then, $h=q-\frac{q.p}{p.p}p$