Suppose you first walk A = 14.5 m in a direction 0₁-26° west of north and then 8=26.0 m in a direction 0₂-46.0° south of west. How far are you from your starting point, and what is the compass
direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in the figure below, then this problem finds their sum
R=A+B.)
Complete the problem above, but reverse the order of the two legs of the walk. That is, you first walk leg B, which is 26.0 m in a direction exactly 46.0° south of west, and then leg A, which is 14.5 m in a
direction exactly 26° west of north. (This problem shows that A+B=B+ A. Enter the distance in m and the direction in degrees south of west.)
N
distance
direction
A+B=R
0
B
0₂
R
A
у
W
S
x m
X south of west
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E
Enter a number
Show that you get the same final result as for R=A+B. (Submit a file with a maximum size of 1 MB.)
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