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Three people pull on a rock on the ground in three different directions as follows: First...

Three people pull on a rock on the ground in three different directions as follows: First force has a magnitude of 100N and makes an angle of 30° North of East. Second force has a magnitude of 80N and makes an angle of 30° West of North. Third force has a magnitude of 40N and makes an angle of 53° South of West. Determine the magnitude and direction of a fourth force which when acting on the rock will make the vector sum of the four forces zero.

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