Question
$ABCDEF$ is a regular hexagon and forces represented in magnitude and direction by $AB, AC,AD, AE$ and $AF$ act at $A$. Their resultant is :
✓
Answer
$\overrightarrow{\mathrm{AB}}+\overrightarrow{\mathrm{AC}}+\overrightarrow{\mathrm{AD}}+\overrightarrow{\mathrm{AE}}+\overrightarrow{\mathrm{AF}}$
$=(\overrightarrow{\mathrm{AB}}+\overrightarrow{\mathrm{AE}})+(\overrightarrow{\mathrm{AC}}+\overrightarrow{\mathrm{AF}})+\overrightarrow{\mathrm{AD}}$
$=\overrightarrow{\mathrm{AD}}+\overrightarrow{\mathrm{AD}}+\overrightarrow{\mathrm{AD}}=3 \overrightarrow{\mathrm{AD}}$
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