A force has components and

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

Problem

A force has components

F_x=-6\,\text{N}

and

F_y=-8\,\text{N}

. Determine the magnitude of the force and the angle it makes with the

+x

-axis (measured anticlockwise,

0^{\circ}\leq\theta<360^{\circ}

). (a)

10\,\text{N},\;053^{\circ}

(b)

10\,\text{N},\;127^{\circ}

(c)

10\,\text{N},\;233^{\circ}

(d)

14\,\text{N},\;233^{\circ}