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 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 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 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 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 .

Find the projection of the vector veca = 2veci + 3vecj + 2veck on the vector vecb = veci + 2vecj + veck

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