Find the equation of the linepassing through the point `(2, 3) and (5, -2)`.

Find the equation of a line passing through the points (2,5) and (-3,1) .

Find the equation of the plane passing through the point (2,3,1) having (5,3,2) as the direction ratio is of the normal to the plane.

Find the equation of the plane passing through the point (2,3,1) having (5,3,2) as the direction ratio is of the normal to the plane.

Find the equation of the plane passing through the point (2,3,1) having (5,3,2) as the direction ratio is of the normal to the plane.

Find the equation of the plane passing through the points (2,1,2) and (1,3,-2) and parallel to the x-axis.

Find the equation of the line passing through the point (2, 1, 3) and perpendicular to the lines (x-1)/1=(y-2)/2=(z-3)/3andx/(-3)=y/2=z/5

Find the equation of the lines passing through the point (2, 1, 3) and perpendicualr to the lines (x-1)/(1)=(y-2)/(2)=(z-3)/(3)andx/(-3)=y/(2)=z/(5) .

Find the equation of a line passing through the points (3,5) and (-2, 1).

Find the equation of line passing through the points P(-1,3,2) and Q(-4,2-2) . Also, if the point R(5,5,lambda) is collinear with the points P and Q, then find the value of lambda .

Find the equation of the plane passing through the point (2, -3, 1) and perpendicular to the line joining points (4, 5, 0) and (1, -2, 4).