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4 vector multiplication Related: Vector Calculus - Mathematical Metho...
The 4-vector is a powerful tool because the dot product of two 4-vectors isLorentz Invariant. In other words, the 4-vector dot product will have thesame value in every frame. Thus, if you are trying to solve for a quantitywhich can be expressed as a 4-vector dot product, you can choose the simplestframe in which to solve the problem and know that your answer will be thesame in any frame.Note two conventions that I use below. First, I will use natural units,where ~ = c = 1. Second, I use the word ”dot-product” throughout becausethat expression is typical in physics. However, the mathematical term forthe generalization of the 3-vector dot-product to any arbitrary vector spaceis actually ”inner product.”

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4 vector multiplication Related: Vector Calculus - Mathematical Methods of Physics, UGC - NET Physics
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