(a) Where does the line r = 2i + 5j +t(3i +j + 2k )cut the plane x + y + z = 1(b) Find a

Chapter 17, Problem 61

(choose chapter or problem)

(a) Where does the line r = 2i + 5j +t(3i +j + 2k )cut the plane x + y + z = 1?(b) Find a vector perpendicular to the line and lying inthe plane.(c) Find an equation for the line that passes through thepoint of intersection of the line and plane, is perpendicularto the line, and lies in the plane.

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