Question

URGENT. TOMMORROW IS MY EXAM. Five vectors are represented by the sides of a closed polygon taken in the same order. Make use of triangle law to prove that their resultant is zero.i know the way to find resultant of polygon law but I don't understand how to prove that their resultant is zero. Please help

Answer 1

$\vec{AB}=\vec{AO}+\vec{OB}=-\vec{OA}+\vec{OB}\\\vec{BC}=\vec{BO}+\vec{OC}=-\vec{OB}+\vec{OC}\\\vec{CD}=\vec{CO}+\vec{OD}\\\vec{DE}=\vec{DO}+\vec{OE}\\\vec{EA}=\vec{EO}+\vec{OA}\\\\Add\ all:\\\\\vec{AB}+\vec{BC}+\vec{CD}+\vec{DE}+\vec{EA}=\vec{0}$

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