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

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

amistre64 · Answer

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

amistre64 · Answer

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

amistre64 · Answer

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