Math, asked by raotd, 10 hours ago

Guys in volume of Parallelepiped we use formula (AB)•C but isn't c in same direction as that of AB and so parallel to a vector and b vector then why volume is not zero despite the fact that theta is 90°

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Answered by ranjeetcarpet

Answer:

The volume of the parallelepiped is therefore Volume=∥a×b∥ ∥c∥ |cosϕ|=|(a×b)⋅c|. (Remember the definition of the dot product.) Using the formula for the cross product in component form, we can write the scalar triple product in component form as (a×b)⋅c=|a2a3b2b3|c1−|a1a3b1b3|c2+|a1a2b1

Step-by-step explanation:

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Guys in volume of Parallelepiped we use formula (A*B)•C but isn't c in same direction as that of A*B and so parallel to a vector and b vector then why volume is not zero despite the fact that theta is 90°​

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Guys in volume of Parallelepiped we use formula (AB)•C but isn't c in same direction as that of AB and so parallel to a vector and b vector then why volume is not zero despite the fact that theta is 90°