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Two position vectors, A and B, are shown in the diagram below. The green arrow represents vector A while the red one represents B. The

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Two position vectors, A and B, are shown in the diagram below. The green arrow represents vector A while the red one represents B. The components of the vectors are as follows: Ax = -8 cm, Ay = 19 cm Bx = 17 cm, By = -7 cm y (cm) 40 20 x(cm) -40 -20 20 40 -20 -40 For each of the given expressions, calculate the magnitude of the resultant vector, in centimeters, and select the diagram that is the best graphical (tail-to-head method) representation of the vectors and the resultant. (a) C - A +B cm y (cm) y (cm) y (cm) y (cm) 40 40 40 40 20 20 20 - X(cm) -40 x(cm) -20 40 -40 - x(cm) -20 20 40 -40 -20 20 40 x(cm) -40 -20 20 40 -20 20 -20 - 20 -40 -40 -40 -40 O O (b) D = 2A - B cm y (cm) y (cm) y (cm) y (cm) 40 40 40 40 20 20 20 - x (cm)- -40 20 40 x(cm) -20 -40 -20 40 x (cm) -40 -20 20 40 x (cm) -40 -20 20 40 -20 -20 -20 -20 -40 -40 -40

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