A particle at position $p$ and velocity $\vec{v}=\langle x,y,z \rangle$ hits the plane orthogonal to vector $\vec{n}$ and passing through point $q$. When does the particle hit the plane?
I calculated the distance between particle and plane, but my problem is how to convert vector into units so that I can calculate the time. I tried the magnitude, but it gives incorrect solution. Can someone point me in the right direction?