A grasshopper makes four jumps. The displacement vectors are (1) 39.0 cm, due west; (2) 34.0 cm, 37.0 ° south of west; (3) 24.0 cm, 56.0 ° south of east; and (4) 19.0 cm, 73.0 ° north of east. Find (a) the magnitude and (b) direction of the resultant displacement. Express the direction as a positive angle with respect to due west.

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EDIT:
There is calculation mistake for Dx.
It will be: Dx = -47.18 cm
Thus (a) |D| = 52.1 cm
and, angle = 25.2 degrees south of west
A grasshopper makes four jumps. The displacement vectors are (1) 39.0 cm, due west; (2) 34.0...
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The route followed by a hiker consists of three displacement vectors , , and . Vector is along a measured trail and is 1710 m in a direction 40.0 ° north of east. Vector is not along a measured trail, but the hiker uses a compass and knows that the direction is 24.0 ° east of south. Similarly, the direction of vector is 43.0 ° north of west. The hiker ends up back where she started, so the resultant displacement...
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