1. (a) Find the vector equation of the plane through the points A(4, 1, 6), B(2, 5, 8) and C(5, 3, 6). Find the point of intersection of this plane with the line joining the origin to the point (+1, -7, -10). (b) Forces F1 = i - j + 2k and F2 = -2i + 2j - k act at the points Pi (0, 1, 1) and P2(-1, 0, 1) respectively. Find (i) the resultant of F1 and F2 (ii) the total moment about the origin O (iii) the work done when F1 moves its point of application from P1 to P2 along P1 P2. P.T.O