5 inches ×1 mileinch5 milesVectorsVECTORS: RESULTANTS AND COMPONENTSRev. 0Page 9CP-02Figure 10 Vector Addition Not in Same LineConsider next the addition of vector quantities which are not in a straight line. For example,consider the resultant displacement when a person travels four miles east and then three milesnorth. Again a scale drawing (Figure 10) is in order. Use a scale of 1 inch = 1 mile.When drawing a scale drawing, one draws a straight line from the origin C to the final positionB to represent the net or resultant displacement. Drawing the straight line CB and measuring itslength, one should obtain about 5 inches. Then, since the scale of the drawing is 1 inch = 1 mile,this is used as a conversion factor giving as the displacement.Using a protractor or trigonometry, the acute angle ACB can be determined to be about 37 .^{o}Thus, the resultant (or vector sum) of traveling 4 miles east plus 3 miles north is a displacementof 5 miles at 37 degrees north of east.

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