Three points A$,$ B$,$ C in $3$D space are specified in cartesian coordinates: A $($xA$,$ yA$,$ zA$),$

B $($xB $,$ yB $,$ zB $),$ C $($xC $,$ yC $,$ zC $).$ Write a pseudo$-$code that uses vectors $($not individual

components$)$ and fundamental vector operations $($dot products, cross products, etc$)$ to

swiftly find the coordinates of the point of intersection H of the heights, H $=$ f $($A$,$ B$,$ C$),$

for any A$,$ B$,$ C$.$ Show and explain your pseudo$-$code for f $($A$,$ B$,$ C$).$ Sketch