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  • Please solve RD Sharma class 12 chapter 22 Algebra of Vectors exercise Multiple choice question 26 maths textbook solution

Please solve RD Sharma class 12 chapter 22 Algebra of Vectors exercise Multiple choice question 26 maths textbook solution

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Answer: \overrightarrow{0}

Hint: \overrightarrow{E A}+\overrightarrow{E B}+\overrightarrow{E C}+\overrightarrow{E D}=?

Given:ABCD  is rhombus whose diagonal intersect E then \overrightarrow{E A}+\overrightarrow{E B}+\overrightarrow{E C}+\overrightarrow{E D}  equal

Solution: Since in rhombus diagonal bisects each other, |\overrightarrow{E A}|=|\overrightarrow{E C}| \text { and }|\overrightarrow{E B}|=|\overrightarrow{E D}|

But since they are opposite to each other they are opposite signs

        \begin{aligned} &\overrightarrow{E A}=-\overrightarrow{E C} \\\\ &\overrightarrow{E B}=-\overrightarrow{E D} \\\\ &\overrightarrow{E A}+\overrightarrow{E C}=0 \end{aligned}                ...................(1)

        \begin{aligned} &\overrightarrow{E B}+\overrightarrow{E D}=0 \\ \end{aligned}                ...................(2)

        \overrightarrow{E A}+\overrightarrow{E B}+\overrightarrow{E C}+\overrightarrow{E D}=\overrightarrow{0}

 

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