Vector A has a magnitude A = 1 and makes an angle of 30 degrees with respect to the x- axis (in the first quadrant), vector B has a magnitude B = 2 and makes an angle of 60 degrees with respect to the x-axis (in the fourth quadrant); see figure below for details. What is the magnitude of the resultant vector C = A + B? What angle (acute) θ does the vector C make with the x-axis?

Vector A has a magnitude A = 1 and makes an angle of 30 degrees with respect to the x- axis (in the first quadrant), vector B has a magnitude B = 2 and makes an angle of 60 degrees with respect to the x-axis (in the fourth quadrant); see figure below for details. What is the magnitude of the resultant vector C = A + B? What angle (acute) θ does the vector C make with the x-axis?

Name: Vector A has a magnitude A = 1 and makes an angle of 30 degrees with r
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Description: Vector A has a magnitude A = 1 and makes an angle of 30 degrees with respect to the x-axis (in the first quadrant), vector B has a magnitude B = 2 and makes an angle of 60 degrees with respect to the x-axis (in the fourth quadrant); see figure below

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Chapter10: Thermal Physics

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Vector A has a magnitude A = 1 and makes an angle of 30 degrees with respect to the x-
axis (in the first quadrant), vector B has a magnitude B = 2 and makes an angle of 60 degrees
with respect to the x-axis (in the fourth quadrant); see figure below for details. What is the
magnitude of the resultant vector C = A + B? What angle (acute) θ does the vector C make with
the x-axis?

y
30°
60°
B
A) C = 2.24, 0 = 33.3 degrees
B) C = 1.7, 0 = 63.4 degrees
C) C = 3, 0 = 90 degrees
D) C = 1.64, 0 = 14 degrees

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