IMPORTANT: Label all quantitites in the Tables as shown in the examples for Set 1.

Table 1 - Vector Addition using the Graphic Method
SET Force vectors in polar representation:
(| |,θ)
Graphical Representation of the forces' magnitude in the units used in the ruler Magnitude of the resultant forces in SI units and direction
1 1 = (1.96 N, 15°) 2 = (3.92 N, 145°)
| 1|:                       | 2|:

| 1 + 2|:
| 1 + 2| =

θ =
2 3 = (2.94 N, 15°) 4 = (3.92 N, 145°)

3 5 = (2.94 N, 15°) 6 = (3.92 N, 145°) 7 = (4.90 N, 145°)

Table 2 - Vector Addition using the Analytic Method
SET Force vectors in polar representation:
(| |,θ)
Cartesian Coordinates Magnitude and direction of the resultant forces
1 1 = (1.96 N, 15°) 2 = (3.92 N, 145°)
F1x =                                     ;F1y = | 1 + 2| =

θ =
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or 360°)
F2x =                                     ;F2y =
( 1 + 2)x =                      ;( 1 + 2)y =
2 3 = (2.94 N, 15°) 4 = (3.92 N, 145°)

3 5 = (2.94 N, 15°) 6 = (3.92 N, 145°) 7 = (4.90 N, 145°)

SCALE (use it as a conversion factor):
1N: 0.867 cm