Question: 1. Two points in a plane have polar coordinates A = (2.50 m, 30.0) and B = (3.80 m, 120.0). Determine: (a) The Cartesian coordinates

1. Two points in a plane have polar coordinates A = (2.50 m, 30.0") and B = (3.80 m, 120.0"). Determine: (a) The Cartesian coordinates of these points (b) The distance between them 2. Three displacement vectors are shown in the figure below. Their magnitudes are A = 20 cm, B = 16 cm and C = 12 cm. Find the 4 magnitude and angle of the resultant vector A + B + C. F4. In the diagram below, what are the x and y-components of vector A if the magnitude of A is 40 units? 5. A velocity vector in the second quadrant has a magnitude of 16.0 m's and a y-component of 10.0 m/s. What is the value of its x-component? 6. Find the magnitude and direction of the vector with the following components: (a) x= -5.0 cm, y =+8.0 cm (b) Fx =+120 N, Fx, = -60.0 N (c) wx =-13.7 m/s, Vy = -8.8 m/'s (d) ax = 2.3 m/s', dy = 6.5 cm/s 7. Write F in component form. Let A =51 + 2j, B=-31 +5jand F=A-4B

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