Thread: Cross Product Vector Help

Heres the problem:

Suppose that A is a point not on the plane determined by the three points P,Q, and R. Calculate in two ways the volume of the pyramid APQR to show that the perpendicular distance from A to this plane is:

d = | AP dot product (AQ X AR)| divided by |PQ X PR|

This may not be in the spirit of the question but

If the ultimate goal is to find the distance of point A to the plane formed by P,Q, and R then :

1.PQxPR is a vector perpindicular to this plane

2. d= magnitude of the projection of AP on PQxPR


d= AP*(PQxPR)/|PQxPR|