Mathematics

Mathematics

Problem

A force of 40 N40\,\text{N} makes an angle of 20∘20^{\circ} with the negative y-axis directed towards the positive x-axis. The force expressed in unit-vector notation is a) 37.6 i^−13.7 j^37.6\,\mathbf{\hat i} - 13.7\,\mathbf{\hat j} b) 13.7 i^+37.6 j^13.7\,\mathbf{\hat i} + 37.6\,\mathbf{\hat j} c) 13.7 i^−37.6 j^13.7\,\mathbf{\hat i} - 37.6\,\mathbf{\hat j} d) −13.7 i^−37.6 j^-13.7\,\mathbf{\hat i} - 37.6\,\mathbf{\hat j}

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