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  • Please solve RD Sharma class 12 chapter 22 Algebra of Vectors exercise Multiple choice question 17 maths textbook solution

Please solve RD Sharma class 12 chapter 22 Algebra of Vectors exercise Multiple choice question 17 maths textbook solution

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Answer: \frac{1}{2}(\vec{a}-\vec{b})

Hint: OA=?

Given: If OACB is parallelogram \overrightarrow{O C}=\vec{a}, \overrightarrow{A B}=\vec{b}

Solution:  \overrightarrow{O C}=\vec{a}, \overrightarrow{A B}=\vec{b}

                \overrightarrow{O B}+\overrightarrow{B C}=\overrightarrow{O C} \                    (\overrightarrow{B C}=\overrightarrow{O A})

                \begin{aligned} &\overrightarrow{O B}=\overrightarrow{O C}-\overrightarrow{O A} \\ \\ &\overrightarrow{O B}=\vec{a}-\overrightarrow{O A} \\ \\ &\overrightarrow{O A}+\overrightarrow{A B}=\overrightarrow{O B} \end{aligned}

                 \begin{aligned} &2 \overrightarrow{O A}=\vec{a}-\vec{b} \\\\ &\overrightarrow{O A}=\frac{\vec{a}-\vec{b}}{2} \end{aligned}

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