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Prove that If $\mathbf{v}$ is a vector in $R^{n}$ and $k$ is a scalar, then: (a) $0 \mathbf{v}=\mathbf{0}$ (b) $k \mathbf{0}=\mathbf{0}$ (c) $\quad(-1) \mathbf{v}=-\mathbf{v}$
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