Two horizontal forces act on a particle: due east and due north

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Two horizontal forces act on a particle:

\vec F_1=12\,\text{N}

due east and

\vec F_2=5\,\text{N}

due north. The magnitude of the least third horizontal force that must be applied to keep the particle in equilibrium is (a)

17\,\text{N}

(b)

7\,\text{N}

(c)

13\,\text{N}

(d)

12\,\text{N}

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