Find the octant in which the point (-3, 1, 2) and (-3, 1, -2) lie.

Find the equation of the plane passing through the point (-1,2, 1) and perpendicular to the line joining the points (-3, 1, 2) and (2, 3, 4). Find also the perpendicular distance of the origin from this plane.

Find the direction cosines of the vector joining the points A(1, 2, -3) and B(-1, -2, 1) , directed from A to B.

Find the equation of the plane passing through the points (1, 2, 3) and (0, -1, 0) and parallel to the line (x-1)/(2)=(y+2)/(3)=(z)/(-3)

Find the position vector of the mid point of the vector joining the points P(2,3,4) and Q(4,1,-2).

Find equation of plane passing through the points P(1, 1, 1), Q(3, -1, 2) and R(-3, 5, -4) .

Find the coordinates of the point which divides the line segment joining the points (-1, 7) and (4, -3) in the ratio 2:3 .

Find the equation of the plane through the points (2, 1, 0), (3, -2, -2) and (3, 1, 7).

Find the ratio in which 2x+3y+5z=1 divides the line joining the points (1, 0, -3) and (1, -5, 7).

Find the value of ‘b’ for which the points A(1, 2), B(-1, b) and C(-3, -4) are collinear .