# Thread: Cartesian equation of plane

1. ## Cartesian equation of plane

I am stuck on this problem! Nasty!

(a) Find the cartesian equation of the plane P through the points
$P(1, 2, 1)$, $Q(2, 1, -1)$, $R(0, 3, 1)$.

(b) Find the equation of the line which is perpendicular to P and passes through the point $S(2, -2, 3)$.

(c) Find the coordinates of the point T on P which is closest to S and hence find the distance from S to P.

Any help is much appreciated,

Dranalion

2. Originally Posted by Dranalion
I am stuck on this problem! Nasty!

(a) Find the cartesian equation of the plane P through the points
$P(1, 2, 1)$, $Q(2, 1, -1)$, $R(0, 3, 1)$.

(b) Find the equation of the line which is perpendicular to P and passes through the point $S(2, -2, 3)$.

(c) Find the coordinates of the point T on P which is closest to S and hence find the distance from S to P.

Any help is much appreciated,

Dranalion

What have you done so far? Where are you stuck? And this doesn't belong to advanced algebra but to analytic geometry or pre-university algebra.

Tonio