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  • Need solution for RD Sharma maths class 12 chapter 22 Algebra of Vectors exercise Fill in the blanks question 7

Need solution for RD Sharma maths class 12 chapter 22 Algebra of Vectors exercise Fill in the blanks question 7

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Answer:- 2

Hint:- To solve this equation we take  \vec{a}+\vec{b}=\lambda

Given:- If D is the mid point of side BC of \Delta ABC  and \overrightarrow{A B}+\overrightarrow{A C}=k \overrightarrow{A D}  , Then K

Solution:- Let  a, b, c are the position vectors of AB, BC, and \; CA respectively.

\overrightarrow{A B}+\overrightarrow{A C}=k \overrightarrow{A D}

                                                    

\begin{aligned} &\vec{b}-\vec{a}+\vec{c}-\vec{a}=k\left[\frac{\vec{b}+\vec{c}}{2}-\vec{a}\right] \\\\ &\vec{b}+\vec{c}-2 \vec{a}=k \frac{(\vec{b}+\vec{c}-2 \vec{a})}{2} \\\\ &\mathrm{k}=2 \end{aligned}

 

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