Minkowski space/Observer vector/Estimate/Exercise

Let ${}V$ be a Minkowski space with the Minkowski form ${}\left\langle -,-\right\rangle$, and let ${}v,w$ denote timelike vectors. Show the estimate

${}\left\langle v,w\right\rangle ^{2}\geq \left\langle v,v\right\rangle \cdot \left\langle w,w\right\rangle \,.$

Create a solution