Question
Prove the left distributive law, $$\mathbf{u} \times(\mathbf{v}+\mathbf{w})=(\mathbf{u} \times \mathbf{v})+(\mathbf{u} \times \mathbf{w}).$$
Step 1
Step 1: Let's denote the vectors as follows: \[\vec{u} = (u_1, u_2, u_3)\] \[\vec{v} = (v_1, v_2, v_3)\] \[\vec{w} = (w_1, w_2, w_3)\] Show more…
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