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Problem 24

In Exercises 13-24, find the component form and the magnitude of the vector \(\mathbf{v}\).'' Initial Point - \((-3, 11)\) Terminal Point - \((9, 40)\)

Problem 25

In Exercises 25-34, use the Law of Sines to solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. \(A\ =\ 110^{\circ}\), \(a\ =\ 125\), \(b\ =\ 100\)

Problem 25

In Exercises 25-30, use the dot product to find the magnitude of \(\mathbf{u}\). \(\mathbf{u} = \langle -8, 15 \rangle\)

Problem 25

In Exercises 15-32, represent the complex number graphically, and find the trigonometric form of the number. \(2\)

Problem 26

In Exercises 25-30, use the dot product to find the magnitude of \(\mathbf{u}\). \(\mathbf{u} = \langle 4, -6 \rangle\)

Problem 26

In Exercises 25-34, use the Law of Sines to solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. \(A\ =\ 110^{\circ}\), \(a\ =\ 125\), \(b\ =\ 200\)

Problem 27

In Exercises 27-32, determine whether the Law of Sines or the Law of Cosines is needed to solve the triangle. Then solve the triangle. \(a = 8\), \(c = 5\), \(B = 40^{\circ}\),

Problem 27

In Exercises 25-30, use the dot product to find the magnitude of \(\mathbf{u}\). \(\mathbf{u} = 20\mathbf{i} + 25\mathbf{j}\)

Problem 27

Represent the complex number graphically, and find the trigonometric form of the number. $$2 \sqrt{2}-i$$

Problem 27

In Exercises 25-34, use the Law of Sines to solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. \(A\ =\ 76^{\circ}\), \(a\ =\ 18\), \(b\ =\ 20\)

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