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TRIPLE PRODUCT  of  Vectors P. S. Tambade
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)
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

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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