英语词汇“vector product”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

vector product n. a vector function of two vectors, (a₁, a₂, a₃) of length a and (b₁, b₂, b₃) of length b, equal to (a₂b₃–a₃b₂, a₃b₁–a₁b₃, a₁b₂–a₂b₁), representing a vector perpendicular to them both and of magnitude ab sin θ (where θ is the angle between them).

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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

1878 W. K. Clifford Elem. Dynamic 95 We are led to two different kinds of product of two vectors,..a vector product..and a scalar product.

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.

1965 J. Abram Tensor Calculus iii. 27 We could have written eqn. (3.14) as a^j(b_ic_j − b_jc_i) in which the bracket is an anti-symmetric tensor of order two. It is known as the outer product of the two vectors b_i and c_i. Only in three dimensions can the outer product be replaced by the vector product.

1972 A. G. Howson Handbk. Terms Algebra & Anal. xxxiv. 169 Given two vectors a.., b..we define their vector product (cross product or outer product) denoted by a × b (or a ∧ b).

单词	vector product
释义	> as lemmas vector product vector product n. a vector function of two vectors, (a₁, a₂, a₃) of length a and (b₁, b₂, b₃) of length b, equal to (a₂b₃–a₃b₂, a₃b₁–a₁b₃, a₁b₂–a₂b₁), representing a vector perpendicular to them both and of magnitude ab sin θ (where θ is the angle between them). 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 1878 W. K. Clifford Elem. Dynamic 95 We are led to two different kinds of product of two vectors,..a vector product..and a scalar product. 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. 1965 J. Abram Tensor Calculus iii. 27 We could have written eqn. (3.14) as a^j(b_ic_j − b_jc_i) in which the bracket is an anti-symmetric tensor of order two. It is known as the outer product of the two vectors b_i and c_i. Only in three dimensions can the outer product be replaced by the vector product. 1972 A. G. Howson Handbk. Terms Algebra & Anal. xxxiv. 169 Given two vectors a.., b..we define their vector product (cross product or outer product) denoted by a × b (or a ∧ b). extracted from vectorn. < as lemmas
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