Q2 c d

Page 4 (c) The equations of two lines L, and L2 are given by L1 = (-1 +3))2 + (-1+ 4X)j + (7 - A)k L2 = (6 + 2/)2 + (5 + /4)j + (14 + 4p)k, where A and / are scalar constants. Prove that Li and L2 intersect and find the coordinates of the point of intersection. [8 marks] (d) Vectors p and q are given by p =212 + ()- 1)j - 5k and q = (1-))2 + 2X7 + (X - 1)k where A is a scalar. Find the values of A for which p and q are perpendicular. [5 marks]