84. For each case, nd the distance between the given line and the given point. a) F = (l,2,3) + 1'(2, 1,2), M(3,2,1) x=2+21' b) y=3+r , E(0,2,3) :=121 xZ yl : c ==, B -2,1,-3 1 3 2 1 ( ) 85. Find the point of intersection if it exists. a) F = (1,2,3) + :(1,2,3) , F = (1,1,1) + 3(2,l,0) b) F = (1,3,5) + r(0,1,2), F = (0,2,4) + $(1,0,l) 73. Find the equation ofa 2D line which a) passes through the points A(0,2) and B(3,1) b) passes through the point A(L3} and is parallel to the vector i = (2,3) c) passes through the point A{2,3) and is perpendicular to the vector 17 = (3:4) d) passes through the point A(1,1) and is parallel to the line y = 2 + 33: e) passes through the point A(2,1) and is perpendicular to the line 2x3y+4=0 74. Find the point(5) of intersection between the two given lines. =23 a) F=(l,2)+r(3,1) and {j S =123 b) x1=y_+2 and J,-=_2x 2 4 C] y=3x+1 and 6x+2y3=0 76. Find the distance from the given point to the given line. a) r =(1,2)+r(1,2). 3(022) xB y+2 b = , 31,3 ) _2 3 ( ) c) x+2y3=0, B(0,0) 7?. Find the vector equation of a line that: a) passes through the points A(0,1,2) and B(2,3,1} b) passes through the point A(2,1,4) and is perpendicular on the xy plane c) passes trough the point A(3,2=1} and is parallel to the y - axis d) passes through the point A(2,2,3) and is parallel to the vector ii = (3,2,1} e) passes through the origin 0 and is parallel to the vector i 2 j