Question 1 [3 points] Find the vector equation for the line passing through the points P1(3, 8, 10) and P20, 0, 7). x 0 0 y=0+t0 Z 0 0 Question 2 [10 points] Let L1 be the line passing through the points Q1(1, 2, 5) and Q2(7, 4, 7) and let L2 be the line passing through the point P1(19, 13, 14) with direction vector d=[3, 2, 1]T. Determine whether L1 and L2 intersect. If so, nd the point of intersection Q. If not, nd a value for the zcoordinate of P1 so the resulting lines do intersect. Question 3 [10 points] Let L be the line passing through the point P(3, 5, 1) with direction vector d=[5, 5, 2]T. and let T be the plane dened by 4x+3y+22 = 26. Find the point Q where L and T intersect. Q=(0,0,0) Question 4 [3 points] Find at so that the dot product of the vectors u and 11 below is -76. 8 2 u= 10 v= x 8 4 x=0