Question

When navigating the maze, the robot will only need to go north, south, east, and west. It can be useful to use the complex plane to represent these directions. When using the complex plane this way, we use numbers such that their magnitude is equal to 1. If we let the value i represent the robot facing due north, what values represent the robot facing east, south, and west?

Answer 1

In the complex plane, there are two axis'. The real and imaginary axis. The imaginary axis include things like 2i, i, 0, -i, and -2i. The real axis is just your regular number line. They are perpendicular to each other, and the positive ends are in the top right, and the negative ends are in the bottom left. So, using this, we get i is for going north, 1 is for going east, -i is for going south, and -1 is for going west. Search up a complex plane if you still don't know.

Answer 2

N=i

S = -i

E =1

W = -1

Explanation:

If facing north is represented by i, then facing south would be the opposite or -i.

We can let facing east be 1 because the magnitude has to be 1, so facing west would be the opposite or -1