Q7 of 177 Page 23

ABCDE is a pentagon, prove that

Given: ABCDE is a pentagon as shown below



Consider ΔABC and apply triangle law of vector, we get



Similarly, consider ΔACD and apply triangle law of vector, we get



And, consider ΔADE and apply triangle law of vector, we get



Adding (i), (ii) and (iii), we get





[as



Hence proved


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