Distance of a point from a plane
Three-dimensional geometry and vector algebra · Mathematics
Study notes
Q: Find the distance from (1,2,3) to 2x + 3y + 6z = 12. Which side is the origin? d = |2+6+18−12|/√(4+9+36) = 14/7 = 2. Signed at origin: −12/7 < 0; at (1,2,3): +14/7 > 0. Opposite sides.