MATH 153
Selected Solutions for 12.5
Exercise 34: Find an equation for the plane that passes through the point
(6, 0, 2) and contains the line x = 3t, y = 1 + t, z = 7 + 4t.
Solution: In order to nd the equation for a plane, we need a point in the
plane a

Worksheet 4 Solutions, Math 53
Vector Geometry and Vector Functions
Monday, September 17, 2012
1. Find an equation of the plane:
(a) The plane through the point (2, 4, 6) and parallel to the plane z = x + y.
Solution
Rewriting the original plane in the st

10. The vectors are V1 = 6.0i + 8.0j, V2 = 4.5i 5.0j.
(a) For the magnitude of V1 we have
V1 = (V1x2 + V1y2)1/2 = [( 6.0)2 + (8.0)2]1/2 =
10.0.
We find the direction from
tan 1 = V1y/V1x = (8.0)/( 6.0) = 1.33.
From the signs of the components, we have
1