Find the equation of the plane through the point `2veci+3vecj-veck` and perpendicular to the vector `3veci-4vecj+7veck`.

Find the equation of the plane through the 2veci+3vecj-veck and perpendicular to the vector 3veci+2vecj-2veck . Determine the perpendicular distance of this plane from the origin.

Find the equation of the plane through the point 2veci-vecj+veck and perpendiulr to the vector 4veci+2vecj-3veck . Determine the perpendicular distance of this plane from the origin.

Find the vector equation of the line through the points 2veci+vecj-3veck and parallel to vector veci+2vecj+veck

Find the equation of a plane passing throug the piont A(3,-2,1) and perpendicular to the vector 4veci+7vecj-4veck . If PM be perpendicular from the point P(1,2,-1) to this plane find its length.

Find the equation of the plane through the point 2hati+3hatj-hatk and perpendicular to vector 3hati+3hatj+7hatk. Determine the perpendicular distance of this plane from the origin.

Find the equation of the plane through the point (1,4,-2) and parallel to the plane -2x+y-3z=7 .

Find the equation of the plane through the point (1,4,-2) and parallel to the plane -2x+y-3z=7 .

The perpendicular distance from the origin to the plane through the point (2,3,-1) and perpendicular to the vector 3hati-4hatj+7hatk is

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

Find the equation of the plane passing through the point (2, -3, 1) and perpendicular to the line joining points (4, 5, 0) and (1, -2, 4).