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[parent] right-handed system of vectors (Definition)

Three ordered non-coplanar vectors $ \vec{u}$, $ \vec{v}$ and $ \vec{w}$, which have a common initial point, are said to form a right-handed or dextral system (Latin dexter = `right'), if a right-threaded screw rotated through an angle less than $ 180^{\rm {o}}$ from $ \vec{u}$ to $ \vec{v}$ will advance in the direction of $ \vec{w}$. For instance, the usual basis vectors $ \vec{i}$, $ \vec{j}$ and $ \vec{k}$ form a dextral system.

Figure: A right-handed system of vectors
\includegraphics{rhs.eps}



"right-handed system of vectors" is owned by juanman. [ full author list (2) | owner history (1) ]
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See Also: circular helix

Other names:  dextral system of vectors
Also defines:  right-handed

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Cross-references: basis, angle, vectors
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This is version 5 of right-handed system of vectors, born on 2005-02-02, modified 2007-03-05.
Object id is 6704, canonical name is RightHandedSystemOfVectors.
Accessed 4970 times total.

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AMS MSC: 15A72 (Linear and multilinear algebra; matrix theory :: Vector and tensor algebra, theory of invariants)
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