With respect to a fixed origin O, the lines I and I2 are given by the vector equations: r=11i+2j + 17k + pai(-2i+j - 4k) ,r = -5i + 11j+k+(-3i+2j+2k) 1 (a) Show that the lines 1 and 1 meet. (b) Find the position vector of their point of intersection A. (c) Show that the lines 1 and 1 are perpendicular to each other. (d) The point B lies on where = 1. Find the coordinates of B. (e) Find the vector AB. (f) Hence, or otherwise, show that |AB| = 4/21.