Three Dimensional Geometry
Find the coordinates of the point where the line 2x+1 =3y+2=4z+3meets the plane x+y+4z=6.
The coordinates of the point where the line through the points A(5,1,6) and B(3,4,1) crosses the yz-plane is
Find the length of perpendicular from the origin to the plane r⋅(3i^−12j^−4k^)+39=0. Also write the unit normal vector from the origin to the plane.
Find the vector and Cartesian equations of a plane which is at a distance of 7 units from the origin and whose normal vector from the origin is (3i^+5j^−6k^).