With respect to a fixed origin O, the lines L1 and L2 are given by the equations L1:r=(6,-3,-2)+lamda(-1,2,3) and L2:r= (-5,15,3)+u(2,-3,1) where lamda and u are scalar parameters.

( a) Show that L1 and L2 meet and find the position vector of their point of intersection A. 

(b) Find to the nearest 0.1 degree, the acute angle between L1 and L2. The point (5,-1,1) has position vector 

(c) Show that B lies on L1 

(d) Find the shortest distance from B to the line L2, giving your answer to three significant figures.