Finding a Unit
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Calculus: Early Transcendental Functions (MindTap Course List)
- Exercises Finding a Unit Vector. In Exercises 912, find a unit vector a in the direction of u and b in the direction opposite that of u. Verify that each vector has length 1. u=(3,2,5)arrow_forwardFinding a Unit Vector In Exercises 41-46, find a unit vector u in the direction of v. Verify that u=1. v=1,6arrow_forwardFinding a Unit Vector In Exercises 4146, find a unit vector u in the direction of v. Verify that u=1. v=0,2arrow_forward
- Finding the Length of a Vector. In Exercises 1-4, find the length of the vector. v=(5,3,4)arrow_forwardFinding the Component Form of a Vector In Exercises 1 and 2, find the component form of the vector.arrow_forwardVector Operations In Exercises 11-16, find the vector v and illustrate the specified vector operations geometrically, where u=(-2,3) and w=(-3,-2). v=u+warrow_forward
- Vector Operations In Exercises 11-16, find the vector v and illustrate the specified vector operations geometrically, where u=(-2,3)and w=(-3,-2). v=12(3u+w)arrow_forwardTrue or False? In Exercises 9598, determine whether the statement is true or false. Justify your answer. If u is a unit vector in the direction of v, then v=vu.arrow_forwardFinding the Difference of Two Vectors In Exercises 103 and 104, use the program in Exercise 102 to find the difference of the vectors shown in the figure.arrow_forward
- Finding the Distance Between Two VectorsIn Exercises 19-22, find the distance between u and v. u=(1,2,5), v=(3,0,1)arrow_forwardFinding Lengths, Unit Vectors, and Dot Products In Exercises 29-34, use a software program or a graphing utility to find (a) the lengths of u and v, (b) a unit vector in the direction of v, (c) a unit vector in the direction opposite that of u, (d) uv, (e) uu, and (f) vv. u=(1,12,14), v=(0,14,12)arrow_forward
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