5) If the join of A(4,1, 2), B (5, b, 0) is parallel to the join of C(2, 1, 1), D(3, 3, -1), then b =

44) Equation of plane passing through two points (2, 3, 1), (4, -5, 3), and parallel to Y - axis, is

72) Equation of plane containing the points A (1, 0, 1) and B (3, 1, 2), and parallel to the line joining the origin to the point C (1, -1, 2) is

78) Four points (0, 4, 3), (-1, -5, -3), (-2, -2, 1) and (1, 1, -1) lie in the plane

79) Equation of plane passing through (-2, -2, 2), and containing the line joining the points (1, 1, 1) and (1, -1, 2), is

85) The direction Ratios of a normal to the plane passing through the points (0, 0, 1), (0, 1, 2) and (1, 2, 3) are

90) If the line joining the points P (-2, 1, -8) and Q (a, b, c) is in the direction of the vector 6i + 2j + 3k, then the respective values of a, b, c are

95) Equation of the plane passing through the points A = (2, 1, -1), B (3, 1, 2), and parallel to X - axis, is

96) If the points (3, 9, x), (-4, 4, 4), (4, 5, 1) and (0, -1, -1) are coplanar, then : x =

110) The coordinates of a point which is equidistant from the point ( 0, 0, 0 ), ( a, 0, 0 ), ( 0, b, 0 ), ( 0, 0, c ) are given by

114) Find the length of the medians of the triangle with vertices A ( 0, 0, 6 ), B ( 0, 4, 0 ) and C ( 6, 0, 0 ).

116) The points A ( 5, - 1, 1 ), B ( 7, - 4, 7 ), C (1, - 6, 10 ) and D ( - 1, - 3, 4 ) are vertices of a

117) The points ( 5, - 4, 2 ), ( 4, - 3, 1 ), ( 7, - 6, 4 ) and ( 8, - 7, 5 ) are the vertices of

118) The mid-points of the sides of a triangle are ( 5, 7, 11 ), ( 0, 8, 5 ) and ( 2, 3, - 1). Then, the vertices are

119) The area of the triangle, whose vertices are at the points ( 2, 1 , 1 ), ( 3, 1, 2 ) and ( - 4, 0, 1 ) is

120) If vertices of a triangle are A ( 1, - 1, 2 ), B ( 2, 0, - 1 ) and C ( 0, 2, 1 ), then the area of a triangle is

121) The triangle formed by the points ( 0, 7, 10 ), ( - 1, 6, 6 ), ( - 4, 9, 6) is

122) The points ( 5, 2, 4 ), ( 6, - 1, 2 ) and ( 8, - 7, k ) are collinear, if k is equal to