R a^{2}b^{2}R 3^{2}4^{2}R 25R 5 milesVectorsANALYTICAL METHOD OF VECTOR ADDITIONRev. 0Page 25CP-02Figure 25 Example Model 1His net displacement is found using equation 2-4.His direction (angle of displacement) is found using the tangent function.tan = opposite/adjacenttan = a/btan = 4/3tan = 1.33= tan 1.33-1= 53^{o}Therefore, his new location is 5 miles at 53 from his starting point.oBy carrying this approach a step further, a model has been developed for finding the resultant ofseveral vectors. For the purpose of developing the model, consider three forces (F , F , and F )1 2 3acting on an object as shown in Figure 25. The goal is to find the resultant force (F ).R

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