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Question

Question: Vector \(\overrightarrow{c}\) in figure represents – ![](https://cdn.pureessence.tech/canvas_662.pn...

Vector c\overrightarrow{c} in figure represents –

A

a+b\overrightarrow{a} + \overrightarrow{b}

B

ab\overrightarrow{a} - \overrightarrow{b}

C

ba\overrightarrow{b} - \overrightarrow{a}

D

ab- \overrightarrow{a} - \overrightarrow{b}

Answer

ab- \overrightarrow{a} - \overrightarrow{b}

Explanation

Solution

According to polygon law

a\overset{\rightarrow}{a} + b\overset{\rightarrow}{b} + c\overset{\rightarrow}{c} = 0

\ c\overset{\rightarrow}{c} = – (a\overset{\rightarrow}{a} + b\overset{\rightarrow}{b})