
Concept explainers
Graphically determine the resultant of the following three vector displacements: (1) 24 m, 36° north of east; (2) 18 m, 37° east of north; and (3) 26 m, 33° west of south.

Solution:
Explanation:
Given:(1)
Graphically, to find the result vector of three vector displacements given in our question we must establish an equivalent scale.In this case, we will take the scale 1cm = 10 m. In this way we start with the first displacement vector: 24 m (2.4 cm in our scale),
Then, for the following displacement vector:
Now, for the third displacement vector:
Finally, to find the displacement vector, the origin of the system is linked to the end of the third displacement vector. The direction is measured with a protractor while its magnitude is measured with the rule, therefore:
The resultant vector of three vector displacements is
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