Abstract
We found it useful to introduce the dot product of two vectors in order to study the geometry of ℝ2 and ℝ3. There is a natural generalization of the dot product to an arbitrary vector space, which is called an inner product.
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© 1992 Springer-Verlag New York, Inc.
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Banchoff, T., Wermer, J. (1992). Vector Spaces with an Inner Product. In: Linear Algebra Through Geometry. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4390-8_28
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DOI: https://doi.org/10.1007/978-1-4612-4390-8_28
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-8752-0
Online ISBN: 978-1-4612-4390-8
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