The vector triple product identity is also known as the BAC-CAB identity, and can be written in the form
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(1)
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(2)
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(3)
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Vector Triple Product
See also
BAC-CAB Identity, Cross Product, Dot Product, Permutation Symbol, Scalar Triple Product, Vector Multiplication, Vector Quadruple ProductExplore with Wolfram|Alpha
References
Arfken, G. "Triple Scalar Product, Triple Vector Product." §1.5 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 26-33, 1985.Aris, R. "Triple Vector Product." §2.35 in Vectors, Tensors, and the Basic Equations of Fluid Mechanics. New York: Dover, pp. 19-20, 1989.Griffiths, D. J. Introduction to Electrodynamics. Englewood Cliffs, NJ: Prentice-Hall, p. 13, 1981.Jeffreys, H. and Jeffreys, B. S. "The Triple Vector Product." §2.092-2.094 in Methods of Mathematical Physics, 3rd ed. Cambridge, England: Cambridge University Press, pp. 75-76, 1988.Morse, P. M. and Feshbach, H. Methods of Theoretical Physics, Part I. New York: McGraw-Hill, p. 114, 1953.Referenced on Wolfram|Alpha
Vector Triple ProductCite this as:
Weisstein, Eric W. "Vector Triple Product." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/VectorTripleProduct.html