65. Explain why or why not Determine whether the following state- ments are true and give an explanation or counterexamp

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65 Explain Why Or Why Not Determine Whether The Following State Ments Are True And Give An Explanation Or Counterexamp 1 (68.19 KiB) Viewed 58 times

65. Explain why or why not Determine whether the following state- ments are true and give an explanation or counterexample. a. José travels from point A to point B in the plane by following vector u, then vector v, and then vector w. If he starts at A and follows w, then y, and then u, he still arrives at B. b. Maria travels from A to B in the plane by following the vector u. By following -u, she returns from B to A. c. Ju + v> Jul, for all vectors u and v. d. Ju + v/ > \u] + [v], for all vectors u and v. e. Parallel vectors have the same length. f. If AB = CD, then A = C and B = D. g. If u and v are perpendicular, then lu + v) = \ul + [v]. h. If u and v are parallel and have the same direction, then |u + v) = \ul + lvl.