Page 250 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

(b) parallel to the -plane
(c) parallel to the -plane

Find an equation for the plane that passes through the origin and is parallel to the plane .
20.

Find an equation for the plane that passes through the point and is parallel to the plane .
21.

Find the point of intersection of the line
22.

and the plane .

Find an equation for the plane that contains the line , , and is perpendicular to the plane
23. . and contains the line of intersection of the planes

Find an equation for the plane that passes through , and lie in the same plane.

24. and .

Show that the points ,,
25.

Find parametric equations for the line through that is parallel to the planes and
26. .

Find an equation for the plane through that is perpendicular to the planes and
27. .

Find an equation for the plane through that is perpendicular to the line of intersection of the planes
28. and .

Find an equation for the plane that is perpendicular to the plane and passes through the points
29. and .

Show that the lines
30.

and

are parallel, and find an equation for the plane they determine.

Find an equation for the plane that contains the point and the line , , .
31.

Find an equation for the plane that contains the line , , and is parallel to the line of intersection of the

32. planes and .