4. Some vector problems may be more easily solved without writing the vectors in component form. Consider the following

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4 Some Vector Problems May Be More Easily Solved Without Writing The Vectors In Component Form Consider The Following 1 (209.16 KiB) Viewed 62 times

4. Some vector problems may be more easily solved without writing the vectors in component form. Consider the following problem. A particle moves at constant speed in a circle having a radius R. (a) Prove that the displacement vector r is perpendicular to the velocity vector v. (b) Prove that the velocity vector is perpendicular to the acceleration vector a. (c) Prove that the magnitude of the acceleration is given by a = and that a is antiparallel to r. (d) Is it possible for a particle to move in a circle at constant velocity? v2 R