91Ó°ÊÓ

Exer. 57-66: Use trigonometric forms to find \(z_{1} z_{2}\) and \(z_{1} / z_{2}\). $$ z_{1}=-1+i, \quad z_{2}=1+i $$

Exer. 57-66: Use trigonometric forms to find \(z_{1} z_{2}\) and \(z_{1} / z_{2}\). $$ z_{1}=\sqrt{3}-i, \quad z_{2}=-\sqrt{3}-i $$

Exer. 57-66: Use trigonometric forms to find \(z_{1} z_{2}\) and \(z_{1} / z_{2}\). $$ z_{1}=-2-2 \sqrt{3} i, \quad z_{2}=5 i $$

Exer. 57-66: Use trigonometric forms to find \(z_{1} z_{2}\) and \(z_{1} / z_{2}\). $$ z_{1}=-5+5 i, \quad z_{2}=-3 i $$

Exer. 57-66: Use trigonometric forms to find \(z_{1} z_{2}\) and \(z_{1} / z_{2}\). $$ z_{1}=2 i, \quad z_{2}=-3 i $$

Airplane course and ground speed Refer to Exercise 63. An airplane is flying in the direction \(140^{\circ}\) with an airspeed of \(500 \mathrm{mi} / \mathrm{hr}\), and a \(30 \mathrm{mi} / \mathrm{hr}\) wind is blowing in the direction \(65^{\circ}\). Approximate the true course and ground speed of the airplane.

Exer. 57-66: Use trigonometric forms to find \(z_{1} z_{2}\) and \(z_{1} / z_{2}\). $$ z_{1}=7, \quad z_{2}=3+5 i $$

Exer. 57-66: Use trigonometric forms to find \(z_{1} z_{2}\) and \(z_{1} / z_{2}\). $$ z_{1}=-5, \quad z_{2}=3-2 i $$

Airplane course and ground speed An airplane pilot wishes to maintain a true course in the direction \(250^{\circ}\) with a ground speed of \(400 \mathrm{mi} / \mathrm{hr}\) when the wind is blowing directly north at \(50 \mathrm{mi} / \mathrm{hr}\). Approximate the required airspeed and compass heading.

Exer. 57-66: Use trigonometric forms to find \(z_{1} z_{2}\) and \(z_{1} / z_{2}\). $$ z_{1}=-3, \quad z_{2}=5+2 i $$