Abstract

Scalar and vector quantities are ubiquitous in physics. However, most physics texts at the undergraduate level provide only a brief description of their nature. This creates confusion for many: all magnitudes are scalars and any physical quantity with magnitude and direction is defined as vector. The true test of a scalar or vector quantity comes by testing its nature under Galilean transformations, directed line segment, parallelogram or triangular law of addition. This article covers the nature of scalars and vectors that is appropriate for the undergraduate level. Lorentz scalars and vectors in four-dimensional space will be discussed in the next part.

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