Express \(- 5 - 5 \mathrm { i }\) in the form \(r \mathrm { e } ^ { \mathrm { i } \theta }\), where \(- \pi < \theta \leq \pi\)
6
The point on an Argand diagram that represents \(- 5 - 5 \mathrm { i }\) is one of the vertices of an equilateral triangle whose centre is at the origin.
Find the complex numbers represented by the other two vertices of the triangle.
Give your answers in the form \(r \mathrm { e } ^ { \mathrm { i } \theta }\), where \(- \pi < \theta \leq \pi\)