4-D Minkowski vector space

by Maepez
Tags: distance, minkowski space, vectors
 HW Helper P: 5,004 I'm pretty sure that by "distance between the two events", they mean $d=(\Delta x^2+\Delta y^2+\Delta z^2)^{1/2}$...If they asked for the space-time separation (or interval) between the events, then you would calculate $\Delta s=(c^2\Delta t^2-\Delta x^2-\Delta y^2-\Delta z^2)^{1/2}$ (Using the convention that $s^2=c^2t^2-x^2-y^2-z^2$ )...However, different authors will use different terminology, so you should check with your Professor. Alternatively, the definition of "distance between events", that you are expected to use might be found in your text, or at least your notes. As for the inner product, are the 4-vectors you posted contravariant or covariant? What is the definition for the inner product between two 4-vectors that is given in your text/notes?