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 A=(3,-2,-1) and parallel to the vector vecb=veci-2vecj+4veck and vecc=3veci+2vecj-5veck .

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

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 point 2veci+3vecj-veck and perpendicular to the vector 3veci-4vecj+7veck .

Find the vector equation of the line passing through (1,2,3) and parallel to the planes vecr.(veci-vecj+2veck)=5 and vecr.(3veci+vecj+veck)=6 .

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

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 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 and cartesian equations of the straight line passing through the point A with position vector 3veci-vecj+4veck and parallel to the vector -5veci+7vecj+3veck .