Consider two four-vectors and whose components are given by \begin{aligned}... · PHYSICS Dataset #8020

Physics · modern-physics

Problem

Consider two four-vectors aa and bb whose components are given by aα=(−2,0,0,1)bα=(5,0,3,4)\begin{aligned} a^{\alpha} & =(-2,0,0,1) \\ b^{\alpha} & =(5,0,3,4) \end{aligned} a) Is aa timelike, spacelike, or null? Is bb timelike, spacelike, or null? b) Compute a−5b\mathbf{a}-5 \mathbf{b}. c) Compute a⋅ba \cdot b.

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