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In geometry and physics, the versor of an axis or of a vector is a unit vector indicating its direction. The versor of a Cartesian axis is also known as a standard basis vector. The versor of a vector is also known as a normalized vector. == Versors of a Cartesian coordinate system == The versors of the axes of a Cartesian coordinate system are the unit vectors codirectional with the axes of that system. Every Euclidean vector a in a ''n''-dimensional Euclidean space () can be represented as a linear combination of the ''n'' versors of the corresponding Cartesian coordinate system. For instance, in a three-dimensional space (3), there are three versors: : : : They indicate the direction of the Cartesian axes ''x'', ''y'', and ''z'', respectively. In terms of these, any vector a can be represented as : where a''x'', a''y'', a''z'' are called the vector components (or vector projections) of a on the Cartesian axes ''x'', ''y'', and ''z'' (see figure), while ''a''''x'', ''a''''y'', ''a''''z'' are the respective scalar components (or scalar projections). In linear algebra, the set formed by these ''n'' versors is typically referred to as the standard basis of the corresponding Euclidean space, and each of them is commonly called a standard basis vector. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Versor (physics)」の詳細全文を読む スポンサード リンク
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