I have a two part question:
- (a) Find the least squares approximation to the solution of the system of equations:
$2x + y = 1$
$x – y = 3$
$x +2 y = 2$
(b) Let S be the plane passing through the origin O and the points
$ A = (2, 1, 1$)
$B = (1, –1, 2)$.
Use your answer to (a) to find the foot of the perpendicular dropped from $P = (1, 3, 2)$ to $S$.
I already have the answer to a)
If I've done it correctly.
I don't understand how to approach b though, if someone could help me step by step to answer this, but not give me the answer, I would be appreciative.