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Figure 4
Projections of the vectors [{\bf{v}}_2,{\bf{v}}_3] along [{\bf{b}}_1] onto the plane [{\bf{p}} = (h,k,l)]. The vector [{\bf{b}}_1] is a short solution of the Bézout's identity [{\bf p}_{1}^{\rm t}{\bf b}_{1} = 1]. The vectors [{\bf{v}}_2,{\bf{v}}_3] are the solutions of the [{\bf{b}}_1]–CCUM problem. The vector [{\bf b}_{1}] is a short vector that can be further shortened into a vector [{\bf{b}}_1^\prime] by `hyperplane shearing' (Cayron, 2021BB4).

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ISSN: 2053-2733
Volume 77| Part 5| September 2021| Pages 453-459
https://doi.org/10.1107/S2053273321006835
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