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## Main Question or Discussion Point

Why is the angle between two timelike vectors given by

[tex]g(X,Y) = \|X\|\|Y\|\cosh\theta[/tex]

instead of

[tex]g(X,Y) = \|X\|\|Y\|\cos\theta[/tex]?

[tex]g(X,Y) = \|X\|\|Y\|\cosh\theta[/tex]

instead of

[tex]g(X,Y) = \|X\|\|Y\|\cos\theta[/tex]?