91Ó°ÊÓ

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

In Exercises 15-32, represent the complex number graphically, and find the trigonometric form of the number. \(12i\)

In Exercises 13-24, find the component form and the magnitude of the vector \(\mathbf{v}\).'' Initial Point - \((1, 11)\) Terminal Point - \((9, 3)\)

In Exercises 13-24, find the component form and the magnitude of the vector \(\mathbf{v}\).'' Initial Point - \((-1, 5)\) Terminal Point - \((15, 12)\)

In Exercises 15-32, represent the complex number graphically, and find the trigonometric form of the number. \(-7 + 4i\)

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

In Exercises 5-24, use the Law of Sines to solve the triangle.Round your answers to two decimal places. \(A\ =\ 110^{\circ}15'\), \(a\ =\ 48\), \(b\ =\ 16\)

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

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

In Exercises 5-24, use the Law of Sines to solve the triangle.Round your answers to two decimal places. \(C\ =\ 95.20^{\circ}\), \(a\ =\ 35\), \(c\ =\ 50\)