Three displacements are
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Physics for Scientists and Engineers with Modern Physics
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- Vectors A and B are two orthogonal vectors in the xy -plane and they have identical magnitudes. If A=3.0 i+4.0 j , find B .arrow_forwardA pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0 m), (60.0 m, 80.0 m), (10.0 m, 10.0 m), (40.0 m, 30.0 m), and (70.0 m, 60.0 m), all measured relative to some origin, as shown in Figure P1.69. His ships log instructs you to start at tree A and move toward tree B, but to cover only one-half the distance between A and B. Then move toward tree C, covering one-third the distance between your current location and C. Next move toward tree D, covering one-fourth the distance between where you are and D. Finally move toward tree E, covering one-fifth the distance between you and E, stop, and dig. (a) Assume you have correctly determined the order in which the pirate labeled the trees as A, B, C, D, and E as shown in the figure. What are the coordinates of the point where his treasure is buried? (b) What If? What if you do not really know the way the pirate labeled the trees? What would happen to the answer if you rearranged the order of the trees, for instance, to B (30 m, 20 m), A (60 m, 80 m), E (10 m, 10 m), C (40 m, 30 m), and D (70 m, 60 m)? State reasoning to show that the answer does not depend on the order in which the trees are labeled. Figure 1.69arrow_forwardLet us name three perpendicular directions as right, up, and toward you as you might name them when you are facing a television screen that lies in a vertical plane. Unit vectors for these directions are r, u, and t, respectively. Consider the quantity (3u2t). (i) Is the magnitude of this vector (a) 6, (b) 3, (c) 2, or (d) 0? (ii) Is the direction of this vector (a) down, (b) toward you, (c) up, (d) away from you, or (e) left?arrow_forward
- Can you answer question N?arrow_forwardConsider the two vectors A-51-3j and B=-i-6j. (a) Calculate A + B i+ (b) Calculate A-B i+ (c) Calculate A + B (d) Calculate (e) Calculate the directions of A + B and A-B. A+B A-B (counterclockwise from the +x axis) (counterclockwise from thearrow_forwardConsider the two vectors A-5i-j and B = - i- 4j. (a) Calculate A+B i+ (b) Calculate A -R i (c) Calculate A+ E (d) Calculate A - E (e) Calculate the directions of A +B and A-B. * (counterclockwise from the +x axis) A - B * (counterclockwise from the +x axis)arrow_forward
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