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Find the position vector of the points which divide the join of the points `5veca-4vecb` and `4veca-5vecb` internally and externally in the ratio 4:3 respectively.

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To solve the problem of finding the position vectors of the points that divide the line segment joining the points \(5\vec{a} - 4\vec{b}\) and \(4\vec{a} - 5\vec{b}\) internally and externally in the ratio \(4:3\), we will use the section formula for vectors. ### Step 1: Define the Points Let: - \( P = 5\vec{a} - 4\vec{b} \) - \( Q = 4\vec{a} - 5\vec{b} \) ### Step 2: Internal Division ...
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