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This video tutorial discusses how to calculate the magnitude and direction of the resultant vector formed by the sum of two force vectors. By breaking down each vector into its components (such as f1x and f1y), we can find the resultant vector in component form. For instance, f1x is calculated as f1 times cosine theta. To determine the x and y components of each force vector, specific formulas and calculations are carried out. For example, cosine 30 degrees equals the square root of 3 over 2 or 0.866, which when multiplied by 200 results in 173.2.