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  • Please solve RD Sharma class 12 chapter 22 Algebra of Vectors exercise Multiple choice question 25 maths textbook solution

Please solve RD Sharma class 12 chapter 22 Algebra of Vectors exercise Multiple choice question 25 maths textbook solution

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Answer: \frac{5}{4} \vec{a}

Hint: According to ratio 3:1

Given: The position vector of point which divide the join of points 2 \vec{a}-3 \vec{b} \; \& \; \vec{a}+\vec{b} in ratio 3:1

Solution: Position vector  R=\frac{3(\vec{a}+\vec{b})+1(2 \vec{a}-3 \vec{b})}{3+1}

Since point vector are joint by R divide line segment join P and Q  whose positive vector \vec{p}\; \&\; \vec{q} in ratio m:n  given \frac{m \vec{q}+n \vec{p}}{m+n}

                        R=\frac{5}{4} \vec{a}

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