Find the Cartesian equation of the plane passing through the point (1,2,-3) perpendicular to the vector2i-j+2k .

Find the Cartesian equation of the line passing through origin and (5,-2,3)

Find the equation of the line passing through the points (3,-2) and (-1,4).

Find the vector and cartesian equations of the plane which passes through the point (5,2,-4) and perpendicular to the line with direction ratios 2,3,-1

Find the equation of the plane passing through the point (-1,-1,2) and perpendicular to the plane 3x+2y-3z=1 and 5x-4y+z=5.

Find the equation of the plane passing through the point (-1,3,2) and perpendicular to each of the planes x+2 y+3 z=5 and 3 x+3 y+z=0

The Cartesian equation of the line passing through the points (1, -1, 2) and (7,0,5) is

Consider three points on space (2,1,0),(3,-2,-2) and (3,1,7) Find the Cartesian equation of the plane passing through the above points. find a unit vector perpendicular to the plane and also find the perpendicular distance of the plane from the origin..

Find the equation of the line passing through the point (-3,5) and perpendicular to the line through the points (2,5) and (-3,6).

Write the Cartesian equation of the straight line through the point (1,2,3) and along the vector 3i+j+2k