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Chapter 11 Solutions
Calculus (MindTap Course List)
- Finding a VectorIn Exercises 13-16, find the vector v with the given length and the same direction as u. v=3,u=(0,2,1,1)arrow_forwardFinding a Unit Vector In Exercises 4146, find a unit vector u in the direction of v. Verify that u=1. v=0,2arrow_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+2warrow_forward
- Finding 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=(0,1,2),v=(2,1,2)arrow_forwardFinding the Length of a Vector. In Exercises 1-4, find the length of the vector. v=(5,3,4)arrow_forwardExercises 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=(2,2)arrow_forward
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