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  • Please solve RD Sharma class 12 chapter 22 Algebra of Vectors exercise Multiple choice question 13 maths textbook solution

Please solve RD Sharma class 12 chapter 22 Algebra of Vectors exercise Multiple choice question 13 maths textbook solution

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best_answer

Answer: 4 \overrightarrow{A B}                                             

Hint: Find \overrightarrow{A D}+\overrightarrow{E B}+\overrightarrow{F C}  equals - ?                                                                             

Given: If ABCDEF is regular Hexagon then \overrightarrow{A D}+\overrightarrow{E B}+\overrightarrow{F C}                                                    

Answer: We have

\begin{aligned} &\overrightarrow{A D}+\overrightarrow{E B}+\overrightarrow{F C} \\ \\ &(\overrightarrow{A B}+\overrightarrow{B C}+\overrightarrow{C D})+(\overrightarrow{E D}+\overrightarrow{D C}+\overrightarrow{C B})+\overrightarrow{F C} \end{aligned}

\begin{gathered} \overrightarrow{A B}+(\overrightarrow{B C}+\overrightarrow{C B})+(\overrightarrow{C D}+\overrightarrow{D C})+\overrightarrow{E D}+\overrightarrow{F C} \\ \\ \overrightarrow{A B}+\overrightarrow{0}+\overrightarrow{0}+\overrightarrow{A B}+2 \overrightarrow{A B}=4 \overrightarrow{A B} \\ \\ \left(\begin{array}{l} \overrightarrow{E D}=\overrightarrow{A B}, \\ \\ \overrightarrow{F C}=2 \overrightarrow{A B} \end{array}\right) \end{gathered}

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