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## Main Question or Discussion Point

Hi, I have two parametric curves defined in three dimensions, which are functions of a variable

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

Any idea of how I should approach this problem? Thanks!

*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!