why do we use cross product to finding area of parallelogram
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The cross product is defined only for three-dimensional vectors. ... The magnitude (or length) of the vector a×b, written as ∥a×b∥, is the area of the parallelogram spanned by a and b (i.e. the parallelogram whose adjacent sides are the vectors a and b
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The cross products is defined as the vector orthogonal to both vectors whose magnitude is, where is the angle between the two vectors.. Since the two experience are equivalent, the cross products yields the area of the parallelogram made by the two vectors.
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