02-22 Notes 15I Working with Planes

15I Working with Planes 1.Find the equation of the line passing through (3, 4, -1) and normal to the plane x – y – 2z = 11. 2a. Find parametric equations of the line through P(1, -2, 4) and Q(2, 0, -1). b. Hence find where this line meets i. the YOZ plane ii. the plane with equation y + z = 2 3. Plane  has equation r  i  3k    4i  j  k     2i  j  2k  . a. Write the Cartesian equation for  . b. Suppose N is the foot of the normal from A(2, -1, 3) to  . Find the coordinates of N.

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