Example 11 (ii) - Chapter 10 Class 12 Vector Algebra

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Example 11 - Chapter 10 Class 12 Vector Algebra - Part 3

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Example 11 Consider two points P and Q with position vectors (š‘‚š‘ƒ) āƒ— = 3š‘Ž āƒ— āˆ’ 2š‘ āƒ— and (š‘‚š‘„) āƒ— = š‘Ž āƒ— + š‘ āƒ— . Find the position vector of a point R which divides the line joining P and Q in the ratio 2 : 1, (ii) externally. Position vector of R = (2(š‘‚š‘„) āƒ— āˆ’ 1(š‘‚š‘ƒ) āƒ—)/(šŸ āˆ’ šŸ) (š‘‚š‘…) āƒ— = (2(š‘Ž āƒ— + š‘ āƒ— ) āˆ’ 1(3š‘Ž āƒ— āˆ’ 2š‘ āƒ—))/(2 āˆ’ 1) = (2š‘Ž āƒ— + 2š‘ āƒ— āˆ’ 3š‘Ž āƒ— + 2š‘ āƒ—)/1 = āˆ’š‘Ž āƒ— + 4š‘ āƒ— = 4š’ƒ āƒ— āˆ’ š’‚ āƒ—

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