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Multivariable CalculusChallengeVectors in Space

Vectors in Space · Challenge problem

Let a=(1,2,3)\mathbf a = (1, 2, 3), b=(0,1,1)\mathbf b = (0, 1, 1) and c=(2,0,−1)\mathbf c = (2, 0, -1). Compute ∥a×(b×c)∥2\lVert \mathbf a \times (\mathbf b \times \mathbf c) \rVert^2.