Figure 1 C of 1 56.0 28.0 C (C-31.0 Part A Given the vectors A and B shown in th

Question

Figure 1 C of 1 56.0 28.0 C (C-31.0 Part A Given the vectors A and B shown in the figure (Figure 1)), determine the magnitude of B -A Express your answer using three significant figures. B- Al units Submit My Answers Give Up Part B Determine the direction of B A. Express your answer using two significant figures above -x axis Submit My Answers Give Up Part C Determine A B without using your answer in parts A and B. Then compare your results and see if they are opposite. Determine the magnitude of A-B Express your answer using three significant figures

Explanation / Answer

given,

B = 26.5

A = 44

x component of B = 26.5 * cos(56)

x component of B = 14.818

y component of B = 26.5 * sin(56)

y component of B = 21.9695

x component of A = 44 * cos(28)

x component of A = 38.8496

y component of A = 44 * sin(28)

y component of A = 20.6567

x component of B - A = 14.818 - 38.8496

x component of B - A = -24.0316

y component of B - A = 21.9695 - 20.6567

y component of B - A = 1.3128

resultant = sqrt(24.0316^2 + 1.3128^2)

magnitude of B - A = 24.0674

direction = tan^-1(1.3128 / 24.0316)

direction of B - A = 3.127 degree

x component of A - B = 38.8496 - 14.818

x component of A - B = 24.0316

y component of A - B = 20.6567 - 21.9695

y component of A - B = -1.3128

resultant = sqrt(24.0316^2 + 1.3128^2)

magnitude of A - B = 24.0674

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