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P 1 (vectors). P (A). Given two vectors à = 27 + 1j and b = -27 - 1j, draw the following vectors on the Cartesian plane: (1) à (2) b (3) a+b (4) b à (5) à b P (B). Given two vectors à = 37 + 17 and b = 17 - 1j, calculate the following dot ("scalar") products: (1)äb (2) (-da(-b) (3) - P. 2 (dynamics). Two forces F1 and F2 act on a 6-kg object. Taking F1 = 6.0 N and F2 = 10.0N, find the accelerations (magnitudes and directions) of the object for the configurations of forces shown in Figures (a) and (b) (see Figure below). 1 F2 F2 90.0° 60.0° 772 F1 in F1 (a) (b) P3 (equilibrium). A traffic light weighting 80 N hangs from the cable tied to two other cables fastened to a support (see Figure below). The upper cables make angles of 30° and 60° with the horizontal. These upper cables are not as strong as the vertical cable and will break if the tension in either of them exceeds 100 N. Does the traffic light remain hanging in this situation, or will one of the cable break ? 30° 60° 2

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