Abstract
Every bivector represents a plane. Indeed, by Proposition 14.1, every bivector b can be decomposed into the wedge product of two vectors u, v. The bivector b represents the plane of vectors spanned by any vectors u, v such that b = uÊŒv. The vectors u, v are not unique, but the plane determined by the bivector b is unique.
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Goldman, R. (2010). Decomposing Mass-Points Into Two Mutually Orthogonal Planes. In: Rethinking Quaternions. Synthesis Lectures on Computer Graphics and Animation. Springer, Cham. https://doi.org/10.1007/978-3-031-79549-7_16
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DOI: https://doi.org/10.1007/978-3-031-79549-7_16
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-79548-0
Online ISBN: 978-3-031-79549-7
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