Consider the ellipsoid 4x2 + 2y2 + z² = 27. Find all the points where the tangent plane to is parallel to the plane 2y - 8x - 3z = 0.

Q: how was it determined that the equation of the yz plane is x = 0?

A: The objective is to explain yz-plane equals .

Q: Find the equation of the plane passing through the point P(2, -1, 3) and perpendicular to the line…

A: We have to find the equation of the plane passing through the point  and perpendicular to the line…

Q: Find the distance between the point (-1,–1,2) and the plane 2.x+5y-6z =4

A:

Q: Find the distance between the point (0,0, 8) and the plane given by 2x – y + 2z – 1 = 0.

A:

Q: Consider the plane x-y-z-8= 0. Find the point in this plane closest to the point (1, 0, 1).

A:

Q: Find the distance between the skew lines with parametric equations x=3+t, y=2+6t, z = 2t, and…

A: Given :x=3+ty=2+6tz=2tx=2+2sy=4+14sz=-2+5s

Q: Find the distance from the point (1,1,1) to the plane 2x+2y+z=0

A: Solution :-