Find the equation of the plane through the origin and the points `4vecj and 2veci+veck.` Find also the point in which this plane is cut by the line joining points `veci-2vecj+veck and 3veck-2vecj`.

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

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

The ratio in which the plane vecr.(veci-2 vecj+3veck)=17 divides the line joining the points -2veci+4vecj+7veckandvec3i-5vecj+8veck is

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

Find the equation of a line through a point C of position vector vec c=3veci+2vecj and perpendicular to the vector vecb=veci-vecj in the xy-plane.

Find the equation of the plane passing through three given points A(-2veci+6vecj-6veck),B(-3veci+10vecj-9veck) and C(-5veci+vec(6k))

Find the equation of the plane passing through the point (1,2,1) and perpendicular to the line joining the points (1,4,2) and (2,3,5) . find also the perpendicular distance of the origin from this plane.

What is the angle between two vectors 2 vec i+3vecj+veck and -3vec i+6vec k ?

A force of 15 units act iln the direction of the vector veci-vecj+2veck and passes through a point 2veci-2vecj+2veck . Find the moment of the force about the point veci+vecj+veck .