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A particle, which remains at rest, is acted on by three forces F, G and H. The force F has magnitude 7 N and

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A particle, which remains at rest, is acted on by three forces F, G and H. The force F has magnitude 7 N and is directed to the right and down, making an angle of 55 with the vertical. The force G has magnitude 6 N and is directed to the left and up, making an angle of 35 with the vertical. Find the magnitude of the vector H, and the acute angle it makes with the vertical. Give the magnitude to one decimal place and the angle to the nearest degree. The magnitude of H is The acute angle H makes with the vertical is N (to 1 d.p.) Q (to the nearest degree).

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