Sphere: equation and properties
Three-dimensional geometry and vector algebra · Mathematics
Study notes
Q: Find centre and radius of x²+y²+z²−4x+6y−8 = 0. 2u = −4 → u = −2; 2v = 6 → v = 3; 2w = 0 → w = 0; d = −8. Centre (2,−3,0). Radius = √(4+9+0+8) = √21.