| 单词 | scalar triple product |
| 释义 | > as lemmasscalar triple product scalar triple product n. a scalar function of three three-vectors ((a1, a2, a3), (b1, b2, b3), (c1, c2, c3)) which can be calculated as (a1, b2, c3 + b1c2a3 + c1a2b3 − a1c2b3 − b1a2c3 − c1b2a3), being the volume of the parallelepiped which has the three vectors as three coincident edges. ΘΚΠ the world > relative properties > number > mathematical number or quantity > tensor > [noun] > vector > function of vector function1873 vector potential1873 vector product1878 gradient1901 scalar triple product1901 vector triple product1901 grad1909 1901 J. W. Gibbs & E. B. Wilson Vector Anal. ii. 68 The second triple product is the scalar product of two vectors, of which one is itself a vector product, as A · (B × C) or (A × B) · C. This sort of product has a scalar value and consequently is often called the scalar triple product. 1959 M. R. Spiegel Schaum's Outl. Theory & Probl. Vector Anal. ii. 17 The product A · (B × C) is sometimes called the scalar triple product or box product and may be denoted by [ABC]. 1964 E. Œ. Wolstenhome Elem. Vectors ii. 38 If a, b, c are three vectors, any pair of them may be multiplied vectorially to form a new vector d, the third of the original vectors may then be multiplied by d, either scalarly to form what is known as a scalar triple product, or vectorially to form..the vector triple product. < as lemmas |
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