Theory of Intelligence
11TH•Mathematics•Vectors In Space•Question 7

(iii)

Use the definition of cross product, for any vectors $\mathbf{u}, \mathbf{v}, \mathbf{w}$ and scalar $k$, prove that

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(iii)

u×(kv)=(ku)×v=k(u×v)\mathbf{u} \times (k\mathbf{v}) = (k\mathbf{u}) \times \mathbf{v} = k(\mathbf{u} \times \mathbf{v})

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