Three vectors a→, b→, and c→, each have a magnitude of 44.0 m and lie in an xy plane. Their directions relative to the positive direction of the x axis are 27.0 ˚, 192 ˚, and 315 ˚, respectively. What are (a) the magnitude and (b) the angle of the vector a→+b→+c→ (relative to the +x direction in the range of (-180°, 180°)), and (c) the magnitude and (d) the angle of a→-b→+c→ in the range of (-180°, 180°)? What are (e) the magnitude and (f) the angle (in the range of (-180°, 180°)) of a fourth vector d→ such that (a→+b→)-(c→+d→)=0?
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