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How To Find The Resultant of Two Vectors:
Finding the resultant of two vectors is the same as finding the sum of the two vectors.  

Step 1:
Find the horizontal (Fx) and vertical components (Fy) of each vector.
F1x = F1Cos(angle) and F1y = F1Sin(angle)

Step 2:
Add the two horizontal vector components (Fx = F1x + F2x) and add the two vertical vector components (Fy = F1y + F2y) together.

Step 3:
Calculate the magnitude of the resultant force vector.  F = SQRT[Fx^2 + Fy^2]

Step 4:
Calculate the reference angle of the resultant force vector which is the inverse tangent of Fy/Fx.  Using the quadrant in which the force vector is located in, you can determine the angle of the force vector measured counterclockwise from the +x-axis.  

Quadrant 1:  CCW Angle = Reference Angle
Quadrant 2:  CCW Angle = 180 - Reference Angle
Quadrant 3:  CCW Angle = 180 + Reference Angle
Quadrant 4:  CCW Angle = 360 - Reference Angle


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Basic Introduction to Vectors:
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Motion Time Graphs - Velocity Time Graphs:
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Addition of Vectors:
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