Find the vector equation of the plane passing through the point `(2,5,−3), (−2,−3,5)` and `(5,3,−3)`

Find the vector equation of the plane passing thrugh the points (2,5,-3),(-2,-3,5),(5,3,-3).

Find the vector equations of the plane passing through the points R(2, 5, -3) , S ( -2, -3, 5) and T(5, 3, -3) .

Find the vector equation of the plane passing through the points (1, 1, -1), (6, 4, -5) and (-4, -2, 3).

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

Find the cartesian equation of plane passing through the points (1,1,1), (1,-1,1) and (-7,-3,-5) .

Find the equation of the plane passing through the points (0,-1,-1), (4,5,1) and (3,9,4). Also find the vector equation of the plane.

Find the vector equation of a plane passing through three points A(0, 0, 2), B(1, -1, 1), C(3, 4, 5) .

Find the equation of the circle passing through the point: (1,2) , (3,-4) and (5,-6) .