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# Sketch $(1, −2, 3)$ and $\left(-\frac{1}{3},\frac{2}{3},-1\right)$. Why do these vectors point in opposite directions?

Solution

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To sketch a vector $(a,b,c)$ simply draw a line between $(0,0,0)$ (this point is called a $\textit{base}$ or $\textit{tail}$ of a vector) and the point $(a,b,c)$ (the $\textit{tip}$ of the vector). \par The vectors $(1,-2,3)$ and $(-1/3, 2/3,-1)$ are skecthed in the diagram.

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