The position vector of the point which divides the join of points with position vectors vec"a" + vec"b" and 2vec"a" - vec"b" in the ratio 1:2 is ______.

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The position vector of the point which divides the join of points with position vectors vec"a" + vec"b" and 2vec"a" - vec"b" in the ratio 1:2 is (4vec"a" + vec"b")/3. Explanation: Applying section formula the position vector of the required point is `(2(vec"a" + vec"b") + 1(2vec"a" - vec"b"))/(2 + 1) = (4vec"a" + vec"b")/3`

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