Question

volume of parllelogram​

Answer 1

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Answer 2

Answer:

The volume of the parallelepiped spanned by a, b, and c is Volume=area of base⋅height=∥a×b∥ ∥c∥ |cosϕ|=|(a×b)⋅c|. The formula results from properties of the cross product: the area of the parallelogram base is ∥a×b∥ and the vector a×b is perpendicular to the base. The height of the parallelepiped is ∥c∥ |cosϕ|.