Find the distance of the point P(6,5,9) from the plane determined by the points `A(3,-1,2),\ B(5,2,4)` and `C(-1,\ -1,\ 6)dot`

Find the distance between the point P(6, 5, 9) and the plane determined by the points A (3, -1, 2) , B (5, 2, 4) and C( -1, -1, 6) .

Find the distance between the point P(6, 5, 9) and the plane determined by the points A (3, 1, 2) , B (5, 2, 4) and C( 1, 1, 6) .

Find the equation of a plane passing through the point P(6,\ 5,\ 9) and parallel to the plane determined by the points A(3,\ -1,\ 2)B(5,\ 2,\ 4)a n d\ C(-1,\ -1,\ 6)dot Also find the distance of this plane from the point A.

Find the distance between the point (7,2,4) and the plane determined by the points a(2,5,-3),B(-2,-3,5) and C(5,3,-3)dot

Find the equation of the plane determined by the points (A(3,-1,\ 2),\ B(5,2,4) and C(-1,\ -1,\ 6)dot Also find the distance of the point P(6,5,9) from the plane.

Find the distance of the point (-1, 1) from the line 12(x+6)=5(y-2) .

Find the distance of the point (-1, 1) from the line 12(x+6)=5(y-2) .

Find the distance of the point (1, 1) from the line 12(x + 6) = 5(y - 2) .

Find the distance of the point P(-1,-5,-10) from the point of intersection of the line joining the points A(2,-1,2)a n dB(5,3,4) with the plane x-y+z=5.

Show that the line joining the origin to the point (2,1,1) is perpendicular to the line determined by the points (3,5,-1) and (4,3,-1)dot