Hey I'm reading about relativity and I stumble across statements such as if a four-vector is timelike then it's always possible to find a reference frame for which the space-components vanish.(adsbygoogle = window.adsbygoogle || []).push({});

Further if a four-vector is 'four-orthogonal' to a timelike four vector it must be spacelike. I wondered if someone know how to prove these statements or guide me to avaiable text that do. Are there any 'intuitive' ways to see these statements?

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# Four vector properties.

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