A PSet2.pdf 86 KB Problem 1. Find equations (in any form you want) for the line through P(2, 1, 2) and Q(0, -2, 3). Problem 2. Consider the line L1 with vector equation (x, y, z) = (0, 1, 1) + t(2, 1, -3). (a) Find vector, parametric, and symmetric equations for the line L2 parallel to L1 and passing through the origin. (b) Consider the line L3 with symmetric equations x -4 = , and y = 1. Find the angle between Li and L3. Problem 3. Consider the lines with vector equations L1 : (x, y, z) = (0, 1, -1) + t(1, 1, 7) L2 : (x, y, z) = (-1, 0, -8) + t(3, 2, -1). Find their intersection point or explain why they do not intersect. Problem 4. Consider the lines with parametric equations L1 : x=1+t,y = -1 + 3t, z = 2 - 2t, L2 : x = -3+s,y= 1+s, z = 10 + 4s. Are these lines parallel, intersecting, or skew? Justify your