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  • Explain solution RD Sharma class 12 chapter 22 Algebra of Vectors exercise Fill in the blanks question 16 maths

Explain solution RD Sharma class 12 chapter 22 Algebra of Vectors exercise Fill in the blanks question 16 maths

Answers (1)

Answer:-2

Hint:- To solve this we use triangle law of vector addition

Given:-If A,B,C,D,E  are five point in a plane such that \overrightarrow{A B}+\overrightarrow{A E}+\overrightarrow{B C}+\overrightarrow{D C}+\overrightarrow{E D}=K \overrightarrow{A C}   then K IS….

                                            

Solution:-       

     \begin{aligned} \overrightarrow{A B}+\overrightarrow{A E}+\overrightarrow{B C}+\overrightarrow{D C}+\overrightarrow{E D} \\ \end{aligned}

\begin{aligned} &=(\overrightarrow{A B}+\overrightarrow{B C})+(\overrightarrow{E D}+\overrightarrow{D C})+\overrightarrow{A E} \\\\ &=\overrightarrow{A C}+(\overrightarrow{E C}+\overrightarrow{A E}) \end{aligned}                [∴Triangle Law of Vector Addition]

\begin{aligned} &=\overrightarrow{A C}+\overrightarrow{A C} \\\\ &=2 \overrightarrow{A C} \\\\ &\therefore K=2 \end{aligned}

 

                                                                         

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