Question

数学投影 空间坐标系里,假如z是一个常数,那他在xoz yoz的投影是什么

Answer 1

|P(x)|^2 = x^2 + y^2,

|P(y)|^2 = y^2 + z^2,

|P(z)|^2 = z^2 + x^2

L^2 = x^2 + y^2 + z^2 = [|P(x)|^2 + |P(y)|^2 + |P(z)|^2]/2,L>0

z^2 = L^2 - |P(x)|^2,

x^2 = L^2 - |P(y)|^2,

y^2 = L^2 - |P(z)|^2,

cos(X)=x/L,

cos(Y)=y/L

cos(Z)=z/L