Problem 1

The vector is a normal vector (i.e. is perpendicular) to the plane . Find another nonzero vector that is normal to .

Problem 2

Consider the plane with equation

(a). Find the Intersection of with the -axis

(b). Find the Intersection of with the -axis

(c). Sketch the part of the Intersection of with the -plane that is in the First Octant

Problem 3

A plane passes through the points , and in .

(a). Find an Equation for the Plane

(b). Find the point in the Plane such that the line through and is Perpendicular to

Problem 4

Describe the set of points equidistant from and .

The plane through the point with the normal vector .