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1 Pure Mathematics

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Question 13
67%

A particle is acted on by three forces F1=3i−4j+6k\mathbf{F}_1 = 3\mathbf{i} - 4\mathbf{j} + 6\mathbf{k}F1​=3i−4j+6k, F2=−5i+2j−k\mathbf{F}_2 = -5\mathbf{i} + 2\mathbf{j} - \mathbf{k}F2​=−5i+2j−k and F3=4i+9j+3k\mathbf{F}_3 = 4\mathbf{i} + 9\mathbf{j} + 3\mathbf{k}F3​=4i+9j+3k.

Find the resultant force.

[3]

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