91Ó°ÊÓ

Using the Law of Sines. Use the Law of Sines to solve the triangle. Round your answers to two decimal places. $$B=2^{\circ} 45^{\prime}, \quad b=6.2, \quad c=5.8$$

Using the Law of Cosines, use the Law of Cosines to solve the triangle. Round your answers to two decimal places. $$ B=75^{\circ} 20^{\prime}, \quad a=6.2, \quad c=9.5 $$

Finding the Component Form of a Vector In Exercises \(13-24,\) find the component form and magnitude of the vector v. \(\begin{array}{ll}{\text { Initial Point }} & {\text { Terminal Point }} \\\ {(-2,7)} & {(5,-17)}\end{array}\)

Trigonometric Form of a Complex Number \(\mathrm{In}\) Exercises \(11-30\) , represent the complex number graphically. Then write the trigonometric form of the number. $$3-i$$

In Exercises \(15-24,\) use the vectors \(u=\langle 3,3\rangle, \quad v=\langle- 4,2\rangle,\) and \(\mathbf{w}=\langle 3,-1\rangle\) to find the indicated quantity. State whether the result is a vector or a scalar. $$(\mathbf{u} \cdot 2 \mathbf{v}) \mathbf{w}$$

In Exercises \(15-24,\) use the vectors \(u=\langle 3,3\rangle, \quad v=\langle- 4,2\rangle,\) and \(\mathbf{w}=\langle 3,-1\rangle\) to find the indicated quantity. State whether the result is a vector or a scalar. $$\|\mathbf{w}\|-1$$

Using the Law of Sines. Use the Law of Sines to solve the triangle. Round your answers to two decimal places. $$A=145^{\circ}, \quad a=14, \quad b=4$$

Using the Law of Cosines, use the Law of Cosines to solve the triangle. Round your answers to two decimal places. $$ B=125^{\circ} 40^{\prime}, \quad a=37, \quad c=37 $$

Finding the Component Form of a Vector In Exercises \(13-24,\) find the component form and magnitude of the vector v. \(\begin{array}{ll}{\text { Initial Point }} & {\text { Terminal Point }} \\\ {(1,3)} & {(-8,-9)}\end{array}\)

In Exercises \(15-24,\) use the vectors \(u=\langle 3,3\rangle, \quad v=\langle- 4,2\rangle,\) and \(\mathbf{w}=\langle 3,-1\rangle\) to find the indicated quantity. State whether the result is a vector or a scalar. $$2-\|\mathbf{u}\|$$