Question: Need help preparing using this study guide 8. Let Pi : 2x - 3y + z = 1 and P2 : 3x - 52 +

Need help preparing using this study guide

8. Let Pi : 2x - 3y + z = 1 and P2 : 3x - 52 + 2 =0 be two planes in 3-space. (a) Find the line passing through the point A(1, -1, -4) and perpendicular to the plane P2. (b) Find the closest point on P2 to the point A. (Hint: Find the intersection between the line obtained in Part(a) and the plane P2.) (c) Find the line of intersection between Pi and P2

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