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  • Explain solution RD Sharma class 12 chapter 22 Algebra of Vectors exercise Multiple choice question 20 maths

Explain solution RD Sharma class 12 chapter 22 Algebra of Vectors exercise Multiple choice question 20 maths

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Answer: \frac{1}{3}(4 \vec{a}+\vec{b})

Hint: Measure by 1:2

Given: The position vector of point which divide the join of point with position  \vec{a}+\vec{b} \text { and } 2 \vec{a}-\vec{b}in ratio 1:2 is:

Solution: Apply section formula the position vector require point

            \frac{2(\vec{a}+\vec{b})+1(2 \vec{a}-\vec{b})}{2+1}=\frac{4 \vec{a}+\vec{b}}{3}

Since position vector of point R divide line segment joining the point P and Q where position vector are \vec{p}\; \& \; \vec{q} in ration m : n

=\frac{m \vec{q}+n \vec{p}}{m+n}

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