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In a $\Delta \mathrm{ABC}$, angle $\mathrm{B}$ is obtuse and $\mathrm{D}, \mathrm{E}, \mathrm{F}$ are the middle points of sides $\mathrm{BC}, \mathrm{CA}, \mathrm{AB}$ respectively. Which one of the following vectors has the greatest magnitude?
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The correct answer is:
$\overrightarrow{\mathrm{CA}}$
Since, side opposite to greatest angle is longest and $\angle \mathrm{B}$ is greatest angle in $\Delta \mathrm{ABC}$. Thus, $\overline{\mathrm{CA}}$ has greatest magnitude.
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