Proof of the magnitude of the cross product
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This document outlines steps to prove that the magnitude of the cross product of two vectors a and b is equal to absinθ, where θ is the angle between the vectors. It involves evaluating the determinants of a×b and a2b2 - a·b2, and showing they are equal to absinθ and a2b2sin2θ respectively. Taking the difference of these expressions and using trigonometric identities reveals the relationship is equivalent to the area of the parallelogram formed by the two vectors.
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