Mathematics

Mathematics

Problem

For any vectors p,q,r\mathbf{p},\mathbf{q},\mathbf{r} in space, which identity below illustrates the associative property of vector addition? a) k(p+q)=kp+kqk(\mathbf{p}+\mathbf{q})=k\mathbf{p}+k\mathbf{q} b) ∣p+q∣=∣p∣+∣q∣|\mathbf{p}+\mathbf{q}|=|\mathbf{p}|+|\mathbf{q}| c) (p+q)+r=p+(q+r)(\mathbf{p}+\mathbf{q})+\mathbf{r}=\mathbf{p}+(\mathbf{q}+\mathbf{r}) d) p+q=q+p\mathbf{p}+\mathbf{q}=\mathbf{q}+\mathbf{p}

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