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7) Use scalar projections to find the distance between each of the following pair of objects in R. (16 pts) a) The point R(5,3, 1) and the plane containing the vectors u = (2,-1,2) and v = (3,1,0) and the point P(2, 1, 0). b) The lines L :- . x-1_y+3_z-1 and L, : x-2 =1-2_ 2-2 -2 4 2 2 5 8) Consider the quadric surface x' + - - y' =1 (8 pts) a) Find the yz-trace and the cross-sections with planes parallel to the xz-plane. b) Graph the quadric surface. Z9} Let L. he a line through (2,3,l} that is perpendicular to the plane 3 : x+y-22 = 9. Find the point of intersection of Hand L, . {8 pts}