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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 dened 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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- Spring '08