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