91Ó°ÊÓ

In Exercises 9-18, use the vectors \(u=\langle 2,2\rangle, \mathbf{v}=\langle-3,4\rangle\), and \(w=\langle 1,-2\rangle\) to find the indicated quantity. State whether the result is a vector or a scalar. $$ (3 \mathbf{w} \cdot \mathbf{v}) \mathbf{u} $$

In Exercises 1-16, use the Law of Cosines to solve the triangle. Round your answers to two decimal places. $$ B=125^{\circ} 40^{\prime}, \quad a=32, \quad c=32 $$

In Exercises 1-18, use the Law of Sines to solve the triangle. Round your answers to two decimal places. $$ C=145^{\circ}, \quad b=4, \quad c=14 $$

In Exercises 9-18, use the vectors \(u=\langle 2,2\rangle, \mathbf{v}=\langle-3,4\rangle\), and \(w=\langle 1,-2\rangle\) 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 1-18, use the Law of Sines to solve the triangle. Round your answers to two decimal places. $$ A=100^{\circ}, \quad a=125, \quad c=10 $$

In Exercises 1-16, use the Law of Cosines to solve the triangle. Round your answers to two decimal places. $$ C=15^{\circ} 15^{\prime}, \quad a=6.25, \quad b=2.15 $$

In Exercises 1-16, use the Law of Cosines to solve the triangle. Round your answers to two decimal places. $$ C=43^{\circ}, \quad a=\frac{4}{9}, \quad b=\frac{7}{9} $$

In Exercises 1-18, use the Law of Sines to solve the triangle. Round your answers to two decimal places. $$ A=110^{\circ} 15^{\prime}, \quad a=48, \quad b=16 $$

In Exercises 9-18, use the vectors \(u=\langle 2,2\rangle, \mathbf{v}=\langle-3,4\rangle\), and \(w=\langle 1,-2\rangle\) to find the indicated quantity. State whether the result is a vector or a scalar. $$ \|w\|-1 $$

In Exercises 1-18, use the Law of Sines to solve the triangle. Round your answers to two decimal places. $$ C=85^{\circ} 20^{\prime}, \quad a=35, \quad c=50 $$