5. Consider three coplanar points A=(2,0,0), B=(0,-5,0), and C=(0,0,3).

(2 points)

a) Draw a sketch of the plane.

b) Determine a normal vector to the plane (one that is perpendicular).

c) Use your normal vector and one point to construct an equation for the plane in standard form.

d) Construct the general form of the equation for the plane (this form is unique).