c^{2}a^{2}b^{2}or c a^{2}b^{2}VectorsANALYTICAL METHOD OF VECTOR ADDITIONRev. 0Page 23CP-02Figure 22 Right TriangleANALYTICAL METHOD OF VECTOR ADDITIONVector components are added to determine the magnitude and direction of theresultant. Calculations using trigonometric functions are the most accuratemethod for making this determination.EO 1.3ADD vectors using the following methods:c.AnalyticalThe graphic and components addition methods of obtaining the resultant of several vectorsdescribed in the previous chapters can be hard to use and time consuming. In addition, accuracyis a function of the scale used in making the diagram and how carefully the vectors are drawn. Theanalytical method can be simpler and far more accurate than these previous methods.ReviewofMathematicalFunctionsIn earlier mathematics lessons, the Pythagorean Theorem was used to relate the lengths of thesides of right triangles such as in Figure 22. The Pythagorean Theorem states that in any righttriangle, the square of the length of the hypotenuse equals the sum of the squares of the lengthsof the other two sides. This expression may be written as given in Equation 2-4.(2-4)

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