Unformatted text preview: x-2 y + 3 z = 1. (a) What is the normal direction to the plane? (b) Find the coordinates of any point (your choice) on the plane. 3. Find the intersection point of the line with parametric form below (1 , , 1) + t (1 , 2 , 3) and the plane x + 2 y-3 z = 5 . 4. The planes x + 2 y-3 z = 2 and x-2 y + 3 z = 7 intersect in a line. Find a parametric representation of this line. 5. Consider the plane P deﬁned by x-2 y + 3 z = 1. (a) Show that the point (1,2,3) is not on the plane P . (b) Find the point on P that is the closest to (1,2,3)....
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This note was uploaded on 03/30/2011 for the course MATH 152 taught by Professor Caddmen during the Spring '08 term at UBC.
- Spring '08