Question: Problem 5. (a) Find an equation for the plane through P(0, 1, 1) and perpendicular to (2, 3, 4) (b) Find an equation for the

Problem 5. (a) Find an equation for the plane through P(0, 1, 1) and perpendicular to (2, 3, 4) (b) Find an equation for the plane containing P(0, 1, 0), Q(1, -3, -2), and R(7, 1, -1). Problem 6. Consider the plane P with equation 3x + y + z =5 and the line L with parametric equations x = 1 - 2t, y = 3t, z = -1 + t. Let 0 be the angle between P and L. (a) Find sin(0). (b) Find the intersection point of P and L. Problem 7. Find the distance between the parallel planes P1 : 6z = 4y - 2x, P2 : 92 = 1 - 3x + 6y. PROBLEM SET 2: DUE WEDNESDAY, SEPTEMBER 28TH 2 Problem 8. Show that the following lines are skew and find the distance between them: L1 : x = 1+ t, y = 1 + 6t, z = 2t, L2 : x =1+ 2s, y = 5+ 15s, z = -2 + 6s

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