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Question

Answers

(a) $\overline{AD}$

(b) $\overline{BC}$

(c) $\overline{CD}$

(d) $\overline{AC}$

Answer
Verified

Let us start the solution to the above question by drawing a representative diagram of the situation given in the question.

We know that according to the polygon law of vector addition the sum of the vectors forming all the sides of the polygon such that the tail of one vector coincides with the head of the other vector is zero. So, if we apply this on triangle ADC, we get

$\overline{DA}+\overline{CD}+\overline{AC}=0$

$\Rightarrow \overline{AC}=-\overline{DA}-\overline{CD}$

We also know that $\overline{DA}=-\overline{AD}$ .

\[\overline{AC}=\overline{AD}-\overline{CD}\]