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Show that (veca-vecb)xx(veca+vecb) = 2(v...

Show that `(veca-vecb)xx(veca+vecb) = 2(vecaxxvecb)`. Interpret this result geometrically.

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Show that (vecaxxvecb)^2 = a^2b^2 - (veca.vecb)^2 .

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Prove that veca xx (vecb xx vecc) + vecb xx (vecc xx veca) + vecc xx (veca xx vecb) = vec0 and hence prove that veca xx (vecb xx vecc), vecb xx (vecc xx veca), vecc xx (veca xx vecb) are coplanar.

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