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Can anyone tell me, WHY you can get the area of a parallelogram, with the cross products of two vectors?

  • Answer:

    The magnitude of a cross product is a*b*sin(t). What that turns out to be is one of the sides multiplied by the altitude, which is how you find the area of a parallelogram.

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The magnitude of a cross product is a*b*sin(t). What that turns out to be is one of the sides multiplied by the altitude, which is how you find the area of a parallelogram.

Sleeker

The components of the vectors are the sides of a parallelogram, with the resultant being the vector.

Aenehzodaee

The components of the vectors are the sides of a parallelogram, with the resultant being the vector.

Aenehzodaee

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