A force of makes an angle of with the negative y-axis directed towards the positive x-axis

MATHEMATICS · Single correct · A Level · Mathematics · Vectors · Vectors

Problem

A force of

40\,\text{N}

makes an angle of

20^{\circ}

with the negative y-axis directed towards the positive x-axis. The force expressed in unit-vector notation is (a)

37.6\,\mathbf{\hat i} - 13.7\,\mathbf{\hat j}

(b)

13.7\,\mathbf{\hat i} + 37.6\,\mathbf{\hat j}

(c)

13.7\,\mathbf{\hat i} - 37.6\,\mathbf{\hat j}

(d)

-13.7\,\mathbf{\hat i} - 37.6\,\mathbf{\hat j}