Tangent plane to a sphere
Three-dimensional geometry and vector algebra · Mathematics
Study notes
Q: Find the tangent plane to x²+y²+z² = 49 at (2,3,6). (Check: 4+9+36=49, so the point is on the sphere.) T = 0: x(2)+y(3)+z(6) = 49. Tangent plane: 2x + 3y + 6z = 49.