# What is the equation for the refracted vector when using Snell's Law with 3D vectors? [duplicate]

As the title says, how would I obtain the vector $$\mathbf t$$ if the vector $$\mathbf i$$ and the refractive indices are known? I've tried for hours but I keep getting stuck. Is there an equation readily available?

Thank you.

• – d_b
Oct 22, 2020 at 20:29
• In what system do you know the vector i? do you täte the normal ant tangential component as given? Oct 22, 2020 at 20:43
• @trula The point of vector equations is that they don’t require a particular coordinate system. Oct 23, 2020 at 21:19