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 equations of the planes that passes through three points.(a)(1,1,-1),(6,4,-5),(-4,-2,3)

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 passing through the following points: (-5,\ 0,\ -6),\ (-3,\ 10 ,\ -9)a n d\ (-2,\ 6,\ -6)dot

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 passing through A(2,2,-1),B(3,4, 2) and C(7,0,6) .

Find the vector equation of the plane passing through the points (1, 1, -1), (6, 4, -5) and (-4, -2, 3).

Find the equation of the plane passing through the line (x-1)/5=(y+2)/6=(z-3)/4 and point (4,3,7)dot

Find the equation of the circle which passes through the points (2, 8), (5, 7) and (6, 6) .

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