How do i prove this vector identity ?
$$(\vec a \times \vec b)\times \vec c=(\vec a \cdot\vec c)\vec b - (\vec b\cdot\vec c)\vec a$$
2026-03-29 06:55:06.1774767306
How to prove this vector identity
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This is called vector triple product expansion . This is a well known formula. Proof is available at
Text proof : http://padante.com/scalar-and-vector-triple-product/
Video online proof taught by khan : https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/vector-triple-product-expansion--very-optional