Question:medium
If the position vectors of the points P and Q are, respectively, \(5\vec{a} - 6\vec{b}\) and \(\vec{a} + 2\vec{b}\), then the point R with position vector \(2\vec{a}\) divides the line segment joining P and Q internally in the ratio
If the position vectors of the points P and Q are, respectively, \(5\vec{a} - 6\vec{b}\) and \(\vec{a} + 2\vec{b}\), then the point R with position vector \(2\vec{a}\) divides the line segment joining P and Q internally in the ratio
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To save time, only equate the coefficients of one vector (either \(\vec{a}\) or \(\vec{b}\)). If the division is internal, you should get a positive ratio. If you get a negative value, the division is external.
Updated On: Jun 24, 2026
- 3:2
- 3:1
- 2:1
- 2:3
- 3:4
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The Correct Option is B
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