Problem # 6 chapter 3: The figure shows two vectors, A and B, whose magnitudes a

Question

Problem # 6 chapter 3: The figure shows two vectors, A and B, whose magnitudes are A=6.8 units and B=5.5 units. Determine C if: a) C=A+B b) C=A-B c)C=B-A. Give the magnitude and direction (counterclockwise in the +xdirection). ( The vectors drawn both lie on east axis. Apointing to the east and B poiting to the west) I was able to solve the addition and subtraction of eachvector group, but I was uncertain how to calculate an angle for thedirection. Problem # 6 chapter 3: The figure shows two vectors, A and B, whose magnitudes are A=6.8 units and B=5.5 units. Determine C if: a) C=A+B b) C=A-B c)C=B-A. Give the magnitude and direction (counterclockwise in the +xdirection). ( The vectors drawn both lie on east axis. Apointing to the east and B poiting to the west) I was able to solve the addition and subtraction of eachvector group, but I was uncertain how to calculate an angle for thedirection.

Explanation / Answer

From your description A = 6.8 i and B = -5.5 i Any combination of these vectors must lie on the x-axis and the resulting angle is zero. C = A + B = 6.8 - 5.5 = 1.3 C = A - B = A + (-B) = 6.8 + 5.5 = 12.3 in the +x-direction C = B - A = B + (-A) = -5.5 - 6.8 = 12.3 in the -x-direction Any combination of these vectors must lie on the x-axis and the resulting angle is zero. C = A + B = 6.8 - 5.5 = 1.3 C = A - B = A + (-B) = 6.8 + 5.5 = 12.3 in the +x-direction C = B - A = B + (-A) = -5.5 - 6.8 = 12.3 in the -x-direction

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