Scalar product of Four vectors, Problems |Special Relativity, Physics| Relativistic electrodynamics

Course: Special theory of Relativity
Scalar product of Four vectors: Scalar product of two four vectors can be defined similar to scalar product of 3 dimensional vectors.
It is product of one contravariant and one covariant four vector.
Self scalar product is defined for similar four vectors. The sign of self scalar product defines space-like, time-like and light-like intervals.

Metric tensor is a diagonal matrix of order 4 by 4. It is used to convert contravariant four vector to covariant 4 vector and vice versa.
A vector defined in Minkowski space is called four vector. It is a vector of four elements. This 4 vector transform under Lorentz transformation in the similar manner as position four vector. Contravariant four vector and Covariant four vectors are also defined. Their connection can be made with the help of metric tensor.
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