Using Properties of the Dot Product In Exercises
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Trigonometry (MindTap Course List)
- Finding 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_forwardFinding the Magnitude of a Vector In Exercises 23-28, use the dot product to find the magnitude of u u=4,6arrow_forwardFinding the Component Form of a Vector In Exercises 1 and 2, find the component form of the vector.arrow_forward
- Error Analysis Describe the error in finding the component form of the vector u that has initial point 3,4 and terminal point 6,1. The components are u1=36=9and u2=41=5. So,u=9,5.arrow_forwardFinding the Length of a Vector. In Exercises 1-4, find the length of the vector. v=(5,3,4)arrow_forwardUsing Properties of the Dot Product In Exercises 13-22, use the vectors u=3,3, v=4,2, and w=3,1 to find the quantity. State whether the result is a vector or a scalar. w1arrow_forward
- Using Properties of the Dot Product In Exercises 13-22, use the vectors u=3,3, v=4,2, and w=3,1 to find the quantity. State whether the result is a vector or a scalar. 3uvarrow_forwardUsing Properties of the Dot Product In Exercises 13-22, use the vectors u=3,3, v=4,2, and w=3,1 to find the quantity. State whether the result is a vector or a scalar. uvvarrow_forwardUsing Properties of the Dot Product In Exercises 13-22, use the vectors u=3,3, v=4,2, and w=3,1 to find the quantity. State whether the result is a vector or a scalar. vuwvarrow_forward
- Using Properties of the Dot Product In Exercises 13-22, use the vectors u=3,3, v=4,2, and w=3,1 to find the quantity. State whether the result is a vector or a scalar. uvuwarrow_forwardUsing Properties of the Dot Product In Exercises 13-22, use the vectors u=3,3, v=4,2, and w=3,1 to find the quantity. State whether the result is a vector or a scalar. v0warrow_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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