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    Prove (u+v) x (u-v) = 2v x u (Cross product)

    Homework Statement Show that (u+v) x (u-v) = 2v x u Homework Equations being u=(x1,y1,z1) and v= u=(x2,y2,z2)The Attempt at a Solution I've got 2v x u equals: (2y2.z1 - 2z2.y1) + (2x2.z1 - 2z2.x1) + (2x2.y1 - 2y2.x1) But I'm nearly to melt my mind to prove (u+v) x (u-v) = above
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