# Cartesian equation of plane

• Apr 13th 2010, 04:30 AM
Dranalion
Cartesian equation of plane
I am stuck on this problem! Nasty!

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

(b) Find the equation of the line which is perpendicular to P and passes through the point \$\displaystyle 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
• Apr 13th 2010, 04:54 AM
tonio
Quote:

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

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

(b) Find the equation of the line which is perpendicular to P and passes through the point \$\displaystyle 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