# Search Results for ""

1 - 10 of 1004 for scalar productSearch Results

A

**scalar**is a one-component quantity that is invariant under rotations of the coordinate system.The

**scalar**triple**product**of three vectors A, B, and C is denoted [A,B,C] and defined by [A,B,C] = A·(BxC) (1) = B·(CxA) (2) = C·(AxB) (3) = det(ABC) (4) = |A_1 A_2 A_3; B_1 ...The term "product" refers to the result of one or more multiplications. For example, the mathematical statement a×b=c would be read "a times b equals c," where a is called ...

A map f:R^n|->R which assigns each x a

**scalar**function f(x).An inner

**product**is a generalization of the dot**product**. In a vector space, it is a way to multiply vectors together, with the result of this multiplication being a**scalar**. ...A diagonal matrix whose diagonal elements all contain the same

**scalar**lambda. A**scalar**matrix is therefore equivalent to lambdaI, where I is the identity matrix.**Scalar**multiplication refers to the multiplication of a vector by a constant s, producing a vector in the same (for s>0) or opposite (for s<0) direction but of different ...

The

**scalar**curvature, also called the "curvature scalar" (e.g., Weinberg 1972, p. 135; Misner et al. 1973, p. 222) or "Ricci**scalar**," is given by R=g^(mukappa)R_(mukappa), ...A conservative vector field (for which the curl del xF=0) may be assigned a

**scalar**potential where int_CF·ds is a line integral.Let A, B, and C be three polar vectors, and define V_(ijk) = |A_i B_i C_i; A_j B_j C_j; A_k B_k C_k| (1) = det[A B C], (2) where det is the determinant. The V_(ijk) is a ...

...