91Ó°ÊÓ

Each of the following problems refers to triangle \(A B C\). $$ \text { If } b=4.2 \mathrm{~m}, c=6.8 \mathrm{~m} \text {, and } A=116^{\circ} \text {, find } a \text {. } $$

For each pair of vectors, find \(\mathbf{U} \cdot \mathbf{V}\). \(\mathbf{U}=-3 \mathbf{i}, \mathbf{V}=5 \mathbf{j}\)

Draw the vector \(\mathbf{V}\) that goes from the origin to the given point. Then write \(\mathbf{V}\) in component form \(\langle a, b\rangle\). $$(3,-3)$$

Each of the following problems refers to triangle \(A B C\). $$ \text { If } a=3.7 \mathrm{~m}, c=6.4 \mathrm{~m} \text {, and } B=33^{\circ} \text {, find } b \text {. } $$

Find all solutions to each of the following triangles: \(C=51^{\circ} 30^{r}, c=707 \mathrm{~m}, b=821 \mathrm{~m}\)

For each pair of vectors, find \(\mathbf{U} \cdot \mathbf{V}\). \(\mathbf{U}=6 \mathbf{i}, \mathbf{V}=-8 \mathbf{j}\)

Draw the vector \(\mathbf{V}\) that goes from the origin to the given point. Then write \(\mathbf{V}\) in component form \(\langle a, b\rangle\). $$(5,-5)$$

Draw the vector \(\mathbf{V}\) that goes from the origin to the given point. Then write \(\mathbf{V}\) in component form \(\langle a, b\rangle\). $$(-6,-4)$$

Each of the following problems refers to triangle \(A B C\). $$ \text { If } a=38 \mathrm{~cm}, b=10 \mathrm{~cm} \text {, and } c=31 \mathrm{~cm} \text {, find the largest angle. } $$

For each pair of vectors, find \(\mathbf{U} \cdot \mathbf{V}\). \(\mathbf{U}=2 \mathrm{i}+5 \mathrm{j}, \mathbf{V}=5 \mathrm{i}+2 \mathrm{j}\)