Question
Prove that two parallel vectors $\mathbf{v}$ and $\mathbf{w}$ have the same norm if and only if $\mathbf{v}= \pm \mathbf{w}$.
Step 1
Vectors $\mathbf{v}$ and $\mathbf{w}$ are parallel if there exists a scalar $\lambda$ such that $\mathbf{v} = \lambda \mathbf{w}$. Show more…
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