Prove that (1, 0, 0, 0) and (√2, 0, 0. √3/c) are unit vectors in the V4 with the metric ds² == (dx¹)² – (dx²)² -- (dx³)² + - 2² (d.x¹)² Show also that the angle between these vectors is not real.

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Prove that (1, 0, 0, 0) and (√2,0,0. √3/c) are unit
vectors in the V₁ with the metric
ds²
· (dx¹)² – (dx²)² -- (dx³)² + c² (dx¹)²
Show also that the angle between these vectors is not real.
Transcribed Image Text:Prove that (1, 0, 0, 0) and (√2,0,0. √3/c) are unit vectors in the V₁ with the metric ds² · (dx¹)² – (dx²)² -- (dx³)² + c² (dx¹)² Show also that the angle between these vectors is not real.
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