Question

1. Find an equation of the plane containing the point (2,0,1) and perpendicular to the line through the points (0,1,1) and (1,-1,0)

2. Does the plane in 8.1 pass through the origin

Answer 1

find the vector of the line ... and dot it to the plane point

Answer 2

a plane is composed of a normal (perp) vector, dotted with, or anchored to, a point.

Answer 3

if it passes thru the origin, then 0,0,0 will make a true equation