Consider the three points:
(a) Do these three points form the vertices of a triangle?
If so, determine which point is the vertex of the right angle.
(b) Find the equation of the plane that contains this triangle.
(c) Find the distance from the point (2,2,0) to the plane that contains this triangle/
There's no number where
which means they're non-collinear and hence a triangle.
which means they're perpendicular at , and so
This is correct, but you haven't answered the question yet.
I haven't gotten to part (c) yet, but does my work so far look good?
Although I did something wrong in part (b),
because the equation doesn't fit all the points.
What is the equation you referred to?
In part (b), you found the normal vector to the plane (only):
. . . .
The equation of the plane through
. . with normal is given by:
. . . .
. . . . . . . . .