An expression of the form \(a^{\mu} \vec{e}_{\mu}\), where \(a^{\mu}\), \(\mu=1,2,\ldots,n\) are real numbers, is known as a linear combination of the vectors \(\vec{e}{\mu}\).
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References
Misner, C. W., Thorne, K. S., and Wheeler, J. A. 1973. Gravitation, first edn, W. H. Freeman and company, San Francisco.70
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Grøn, Ø. (2009). Vectors, Tensors and Forms. In: Lecture Notes on the General Theory of Relativity. Lecture Notes in Physics, vol 772. Springer, New York, NY. https://doi.org/10.1007/978-0-387-88134-8_3
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