Consider the three vectors shown in the figure. They have magnitudes |A| = 38, |B| = 6.5, and |C| = 32.6, and the labeled angles are A = 40°, 0B = 20°, and c 15°. Note that the figure shows the definitions of the angles, but the arrows in the figure may not be to scale. OB B A

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Consider the three vectors shown in the figure. They have
magnitudes |A| = 38, |B| = 6.5, and |C| = 32.6, and the labeled angles are A = 40°, 0B =
20°, and 0c 15°. Note that the figure shows the definitions of the angles, but the
arrows in the figure may not be to scale.
C
Part (a) In what quadrant is the vector A+B+C?
Part (b) What is the magnitude of the vector A + B + C?
Part (c) What is the angle between the positive x-axis and the vector, measured clockwise in degrees?
Part (d) In what quadrant is the vector -A+2B+C?
Part (e) What is the magnitude of the vector -A + 2B + C?
Part (f) What is the angle between the negative x-axis and this vector, measured counterclockwise in degrees?
OB
B
A
0 A
Transcribed Image Text:Consider the three vectors shown in the figure. They have magnitudes |A| = 38, |B| = 6.5, and |C| = 32.6, and the labeled angles are A = 40°, 0B = 20°, and 0c 15°. Note that the figure shows the definitions of the angles, but the arrows in the figure may not be to scale. C Part (a) In what quadrant is the vector A+B+C? Part (b) What is the magnitude of the vector A + B + C? Part (c) What is the angle between the positive x-axis and the vector, measured clockwise in degrees? Part (d) In what quadrant is the vector -A+2B+C? Part (e) What is the magnitude of the vector -A + 2B + C? Part (f) What is the angle between the negative x-axis and this vector, measured counterclockwise in degrees? OB B A 0 A
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