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VECTORS:  RESULTANTS AND COMPONENTS
Vector Components

Classical Physics - Physics theories and other related topics
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5  inches  × 1  mile inch 5  miles Vectors VECTORS:  RESULTANTS AND COMPONENTS Rev. 0 Page 9 CP-02 Figure 10   Vector Addition Not in Same Line Consider 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 miles north.  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 position B to represent the net or resultant displacement.  Drawing the straight line CB and measuring its length, 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 displacement of 5 miles at 37 degrees north of east.







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