A plane `P_(1)` passing through `A(1,2,3), B(3,1,5)` and `C(-1,0,1)` is rotated about the median pas

The equation of plane passing through the points (1,2,-3),(3,1,0) and (0,1,1) is

A plane passing through the line joining the points A(1,-3,5) and B(4,1,-1) is turned about AB it passes through the origin.The equation of the plane in the new position is:

If the plane passing through the points (1,2,3),(2,3,1) and (3,1,2) is ax+by+cz=1 then a+2b+3c=

A plane passes through the points A(1,2,3), B(2,3,1) and C(2,4,2) . If O is the origin and P is (2,-1,1) , then the projection of vec(OP) on the plane is of length :

The plane passing through the points (1,1,1),(1,-7,1) and (-7,-3,-5) is perpendicular to

Find the equation of the line passing through (2,1,-2) and (5,3,4) and of the plane passing through (2,0,3) , (1,1,5) and (3,2,4) . Also find their point of intersection.

Equation of the plane passing through the points (1,0,1), (-1,1,1) and (2,3,1) is

Find the vector equation of the plane passing through the points A(a,0,0),B(0,b,0) and C(0,0,c) . Reduce it to normal form.If plane ABC is at a distance p from the origin,prove that (1)/(p^(2))=(1)/(a^(2))+(1)/(b^(2))+(1)/(c^(2))

The equation of the plane passing through the points (1,2,3), (-1,4,2) and (3,1,1) is