How to use the cross product to find the area of a parallelogram spanned by two vectors?

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17-06-2018
Mathematics

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How to use the cross product to find the area of a parallelogram spanned by two vectors?

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sqdancefan sqdancefan · Answer 1 · 2018-06-17T19:17:30+02:00

sqdancefan sqdancefan

17-06-2018

The magnitude of the vector cross product is the desired area.

║A×B║=║A║·║B║·sin(α) . . . . . where α is the angle between the vectors.

As it happens, this is also the formula for the area of the parallelogram defined by vectors A and B.

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