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  • Explain solution RD Sharma class 12 chapter 22 Algebra of Vectors exercise Multiple choice question 12 maths

Explain solution RD Sharma class 12 chapter 22 Algebra of Vectors exercise Multiple choice question 12 maths

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Answer: \frac{1}{3}(\vec{a}+\vec{b})

Hint: Find the centroid G

Given: Let G is centroid of \Delta A B C \; \; \overrightarrow{A B}=\vec{a}, \overrightarrow{A C}=\vec{b} then bisector \overrightarrow{A G} in terms of \vec{a} \; \&\; \vec{b}

Solution: TakeA as origin them position vector A, B, C are given 0, a  and b respectively

            The centroid =\frac{0+a+b}{3}=\frac{a+b}{3}=\frac{1}{3}(a+b)

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