The vector A has a magnitude of 4.44 and makes an angle ? A = 64.8 The vector A
ID: 2134316 • Letter: T
Question
The vector A has a magnitude of 4.44 and makes an angle ?A = 64.8
The vector A has a magnitude of 4.44 and makes an angle ?A = 64.8degree with the y-axis. The vector B has a magnitude of 8.65 and makes an angle of magnitude ?B = 65.3degree with the x-axis. Note that the vectors are not drawn to scale: redraw them to scale on the axes provided. Calculatethe components of vector A+B. Enter the x-component first. B?A. Calculate its components. Enter the x-component first. Calculate the magnitude and direction of B?A. When calculating the angle, remember to interpret the inverse tangent function carefully as it only gives values between ?90degree and +90degree. Enter your answer as a positive angle defined with respect to the x-axis.Explanation / Answer
A+B :
x = 4.44cos(64.8) + 8.65cos(65.3) = 5.50501024292725
y = 4.44sin(64.8) - 8.65sin(65.3) = -3.84116362265951
B-A :
x = -4.44cos(64.8) + 8.65cos(65.3) =1.72409013383005
y = -4.44sin(64.8) - 8.65sin(65.3) = -11.87602784855759
theta = 360 - atan(11.87602784855759/1.72409013383005) = 278.260149587757 degrees
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