# Prove that the triple scalar product of (a x b), (b x c), and (c x a) is equal to the square of the triple scalar product of a, b, c?

• Prove that the triple scalar product of (a x b), (b x c), and (c x a) is equal to the square of the triple scalar product of a, b, c?

Scalar triple product. The value of the scalar triple product $(\color{blue}{\vc{a}} \times \color{green}{\vc{b}}) \cdot \color{magenta}{\vc{c}}$ is shown ...
Positive: 91 %
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 ...
Positive: 88 %

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... The scalar triple product is equal to the determinant of the components of the vectors involved in it ... & b_{y} & b_{z}\\ c_{x} ... Scalar Product ...
Positive: 91 %
... †u is called the scalar triple product of the vectors x ... 0 • b • 1; 0 • c • 1g: PROBLEM 7{6. Prove ... orthogonal to both x and y, and ...
Positive: 86 %
a · b This means the Dot Product of a and b . ... a · b = a x × b x + a y × b y. ... Cross Product. The Dot Product gives a scalar ...