- #1
bezgin
- 22
- 0
Let x + y + 3 z = 7 represent a plane. (it does)
We find the closest point to origin in this plane by [d/[n]^2] * n. In this case n = (1,1,3); d = 7; [n]^2 = 1^2 + 1^2 + 3^2 = 11; then the vector that gives us the closest point is: (7/11, 7/11, 21/11)
I don't understand WHY this operation gives us the closest point and Strang's book doesn't really explain. I'd appreciate if you help.
We find the closest point to origin in this plane by [d/[n]^2] * n. In this case n = (1,1,3); d = 7; [n]^2 = 1^2 + 1^2 + 3^2 = 11; then the vector that gives us the closest point is: (7/11, 7/11, 21/11)
I don't understand WHY this operation gives us the closest point and Strang's book doesn't really explain. I'd appreciate if you help.