Part A Find the magnitude of the vector R that is the sum of the three vectors A

Question

Part A

Find the magnitude of the vector R that is the sum of the three vectors A , B , and C in the figure

(I already got the magnitude on part A but my problem is with part B.)

Part B

Find the direction of the vector R .

(The same thing with part C)

Part C

Find the magnitude of the vector S =C A B .

-I already got the magnitude, but my problem is to get the direction which is part D

Part D

Find the direction of the vector S =C A B .

(Please help me with these two questions, and provide me with answers that I can type on the Mastering Physics access code, thanks.)

Explanation / Answer

A = - 8j^ m
B = 15 * sin(30) i + 15 * cos(30) j = 7.5 i + 13 j m
C = - 12 cos(25) - 12 * sin(25) j = -10.87 i - 5.07 j m
D = - 10 * sin(53) i + 10 * cos(53) j = - 8 i + 6 j m

R = A + B +C
R = (7.5 -10.87) i m+ (-8+13-5.07) j m
R = -3.37 i - 0.07 j

Direction of R = tan^-1(0.07/3.37)
Direction of R theta = 1.19 0 South of West

S = C - A - B
S = C + (-A) + (-B)
S = (-10.87 -7.5) i + (-5.07 + 8 - 13) j m
S = -18.37 i -10.07 j

Direction of S = tan^-1(10.07/18.37)
Direction of S theta = 28.73 0 South of West

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