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- W1964014310 abstract "THE effort to popularise the elements of vector algebra is commendable. The power and the direct insight conferred by the use of vector quantities should be sought consistently in the study of physics; and it is true that the introduction of these methods has been needlessly postponed. But it lies in the very nature of such benefits that they are not to be secured except upon tenable grounds and as the result of a continuous argument. If a particular quantity is to be classed with vectors, that cannot be done upon a basis which is reducible to the bare statement: “This magnitude may be represented by a straight line of given direction and length; therefore it is a vector.” Witness, for example, moment of inertia, which is not properly a vector, although its magnitude can be associated with a rotation-axis. Vector quantities must be subject to the process of “geometrical addition”; there is a total obtainable as the vector sum of constituent parts. This is equivalent to saying that there is a greatest value Q (resultant) for one direction, and that the law of orthogonal projection applies. Thus the value Q1 for any other direction mtst satisfy the equation Q1 =; Q cos (Q1, Q). This projective property must be proved somehow in each case." @default.
- W1964014310 created "2016-06-24" @default.
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- W1964014310 date "1901-05-01" @default.
- W1964014310 modified "2023-09-28" @default.
- W1964014310 title "The Use of “;Axis-vectors”" @default.
- W1964014310 doi "https://doi.org/10.1038/064054b0" @default.
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