Hi

I have the following question:

there is a plane in R^3 given by:

2x+z+1 = 0

Let \psi:R^3 -> R^3 be the reflection along the plane, and let C be a curve in R^3 given by:

x = t

y = t^2

z = t^3

Find the equation of \psi(C)

I know the relection equation and I have got down to the following:

(t, t^2, t^3) - (2/5)(2t + t^2 + 1)(2, 0, 1)

How do I simplify this down to the x, x and z components?

Thanks