Equation of the plane through the mid-point of the line joining of `A(4,5,-10)` and `B(-1,2,1)` and perpendicular to AB is

Equation of the plane through the mid - point of the line segment joining the points P(4,5,-10) and Q (-1,2,1) and perpendicular to PQ is

The equation of the plane passing through the mid - point of the line joining the points (1,2,3) and (3,4,5) and perpendicular to it is

The equation of the plane passing through the mid point of the line points (1, 2, 3) and (3, 4, 5) and perpendicular to it is

Find the equation of the plane through the points A(2,1,-1) and B(-1,3,4) and perpendicular to the plane x-2y+4z=10 . Also, show that the plane thus obtained contains the line vecr=(-hati+3hatj+4hatk)+lambda(3hati-2hatj-5hatk) .

Find the vector equation of the plane through the points (2,1,-1) and (-1,3,4) and perpendicular to the plane x-2y+4z=10 .