An exponential is never 0 so you can divide by to get .

Since a vector is 0 if and only if each component is 0, we must have and . And since ab= 0 if and only if either a= 0 or b= 0 we must have x=0, or and y= 0 and . What are the solutions to those equations? ( andaresolutions but there are two other solutions also.)