8. Diogenes on one of his searches for a honest person walks 3.50 km south, then 8.20 km at an angle of 30.0° north of east, and finally 15.0 west. Draw a diagram and determine: a) The x and y components of each vector, (Ans: (a) A = Ox-3.5y; B= 7.1x+4.14y; C= -15x+0y) b) The x and y components of the sum of the three vectors, and ( Ans: Rx= -7.9x; Ry3 0.64y) c) The magnitude and direction of the resultant. ( Ans: |R| = 7.93km; 0 = -4.63° or 175.37°)

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8. Diogenes on one of his searches for a honest person walks 3.50 km south, then 8.20 km at an angle of
30.0° north of east, and finally 15.0 west. Draw a diagram and determine:
a) The x and y components of each vector, (Ans: (a) A = 0x-3.5y; B= 7.1x+4.14y; C= -15x+0y)
b) The x and y components of the sum of the three vectors, and ( Ans: Rx= -7.9x ; Ry= 0.64y )
c) The magnitude and direction of the resultant. (Ans: |R| = 7.93km; 0 = -4.63° or 175.37°)
Transcribed Image Text:8. Diogenes on one of his searches for a honest person walks 3.50 km south, then 8.20 km at an angle of 30.0° north of east, and finally 15.0 west. Draw a diagram and determine: a) The x and y components of each vector, (Ans: (a) A = 0x-3.5y; B= 7.1x+4.14y; C= -15x+0y) b) The x and y components of the sum of the three vectors, and ( Ans: Rx= -7.9x ; Ry= 0.64y ) c) The magnitude and direction of the resultant. (Ans: |R| = 7.93km; 0 = -4.63° or 175.37°)
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