Mathematics

Mathematics

Problem

A force of magnitude 6 acts along the vector (9,6,−2)(9, 6, -2) and passes through a point A(4,−1,−7)A(4, -1, -7). Then moment of force about the point O(1,−3,2)O(1, -3, 2) is a. 15011(2i^−3j^)\frac{150}{11}(2\hat{i} - 3\hat{j}) b. 611(50i^−75j^+36k^)\frac{6}{11}(50\hat{i} - 75\hat{j} + 36\hat{k}) c. 150(2i^−3j^)150(2\hat{i} - 3\hat{j}) d. 6(50i^−75j^+36k^)6(50\hat{i} - 75\hat{j} + 36\hat{k})

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