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How would I go about proving that the scalar product of two four-vectors (A,B) is invariant under a Lorentz transformation?

- Thread starter Gabor
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How would I go about proving that the scalar product of two four-vectors (A,B) is invariant under a Lorentz transformation?

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As for the four-vector proof, I'm not even sure I'm doing it right... My understanding is that I have to take the scalar product of the two vectors A and B. Then I have to apply Lorentz transform to both vectors and calculate the scalar product of A' and B'. For invariance, these two scalar products should be equal?

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yes.

How did you do the problem for the dot product of vectors in the plane?

How did you do the problem for the dot product of vectors in the plane?

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