triple product
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The document discusses the triple product of vectors. The scalar triple product of vectors A, B, and C equals A dot (B cross C) and represents the volume of the parallelepiped formed by the three vectors. The vector triple product of vectors A, B, C, and D equals A cross (B cross C) and represents a vector perpendicular to the plane formed by vectors B and C.
triple product
- 1. TRIPLE PRODUCT of Vectors P. S. Tambade
- 2. x y z θ A cos θ Scalar Triple Product Volume of parallelopiped = A cos θ B C A B C B C = A · (B × C)
- 3. Perpendicular to plane PQRS EFGH is Perpendicular to PQRS = O O Vector Triple Product B C A B C A D B C D = P Q R S E F G H U Let D and A be in plane EFGH U A × D = A × ( B × C ) A × ( B × C ) is in the plane of B and C