- #1
Quaoar
- 184
- 0
Hi, I have two parametric curves defined in three dimensions, which are functions of a variable t, like so:
x1 = f1(t)
y1 = f2(t)
z1 = f3(t)
x2 = f4(t)
y2 = f5(t)
z2 = f6(t)
I am trying to find the intersection of these two curves, but I am having some difficulty with the mathematics. In two dimensions, I simply solve for t as a function of x, and then plug that value of t into my y function to obtain y as a function of x. With three equations, I cannot do this.
Any idea of how I should approach this problem? Thanks!
x1 = f1(t)
y1 = f2(t)
z1 = f3(t)
x2 = f4(t)
y2 = f5(t)
z2 = f6(t)
I am trying to find the intersection of these two curves, but I am having some difficulty with the mathematics. In two dimensions, I simply solve for t as a function of x, and then plug that value of t into my y function to obtain y as a function of x. With three equations, I cannot do this.
Any idea of how I should approach this problem? Thanks!