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单词 Versor
释义

Versor

英语百科

Versor

arc AB + arc BC = arc AC
Two versors from orthogonal planes (such as i and 1/2(√3 + j)) multiply in both orders, giving different products represented with different spherical triangles (green)

Versors are an algebraic parametrisation of rotations. In classical quaternion theory a versor is a quaternion of norm one (a unit quaternion).

Each versor has the form

where the r = −1 condition means that r is a 3-dimensional unit vector. In case a = π/2, the versor is termed a right versor.

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