Answer Happy

Justify all your answers. No part marks will be given for wrong answers. #1) Find the distance between the point A(1,1,1) and the line (L): X = (1,2,3)+s(1,-1,1). #2) Give the coordinates of 4 points on the plane (P) of equation x - 2y + 32 - 4 = 0 forming a parallelogram. So, the 4 points are on the plane, and they form a parallelogram. Give their coordinates #3) Find the (shortest) distance between the two skew lines: (L1):X = (1,2,3)+s(1,-1,1) (L2): X = (1,-1,1) + t(3,2,1)