91Ó°ÊÓ

In Exercises 1-18, use the Law of Sines to solve the triangle. Round your answers to two decimal places. $$ A=60^{\circ}, \quad a=9, \quad c=10 $$

In Exercises 1-8, find the dot product of \(\mathbf{u}\) and \(\mathbf{v}\). $$ \begin{aligned} &\mathbf{u}=3 \mathbf{i}+4 \mathbf{j} \\ &\mathbf{v}=7 \mathbf{i}-2 \mathbf{j} \end{aligned} $$

In Exercises 1-16, use the Law of Cosines to solve the triangle. Round your answers to two decimal places. $$ a=55, \quad b=25, \quad c=72 $$

A vector that has a magnitude of 1 is called a

In Exercises 1-16, use the Law of Cosines to solve the triangle. Round your answers to two decimal places. $$ a=75.4, \quad b=52, \quad c=52 $$

In Exercises 1-8, find the dot product of \(\mathbf{u}\) and \(\mathbf{v}\). $$ \begin{aligned} &\mathbf{u}=3 \mathbf{i}+2 \mathbf{j} \\ &\mathbf{v}=-2 \mathbf{i}-3 \mathbf{j} \end{aligned} $$

In Exercises 1-8, find the dot product of \(\mathbf{u}\) and \(\mathbf{v}\). $$ \begin{aligned} &\mathbf{u}=\mathbf{i}-2 \mathbf{j} \\ &\mathbf{v}=-2 \mathbf{i}+\mathbf{j} \end{aligned} $$

The vector \(\mathbf{u}+\mathbf{v}\) is called the of vector addition.

In Exercises 1-16, use the Law of Cosines to solve the triangle. Round your answers to two decimal places. $$ a=1.42, \quad b=0.75, \quad c=1.25 $$

In Exercises 1-18, use the Law of Sines to solve the triangle. Round your answers to two decimal places. $$ A=24.3^{\circ}, \quad C=54.6^{\circ}, \quad c=2.68 $$