SOLUTION: How do I use a graph to demonstrate the operation of these complex numbers? 1. (7-6i)+(-5-2i) 2. (5-9i)-(-3-12i) Thank you for your help!

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: How do I use a graph to demonstrate the operation of these complex numbers? 1. (7-6i)+(-5-2i) 2. (5-9i)-(-3-12i) Thank you for your help!      Log On


   



Question 396778: How do I use a graph to demonstrate the operation of these complex numbers?
1. (7-6i)+(-5-2i)
2. (5-9i)-(-3-12i)
Thank you for your help!

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Complex numbers add exactly like vectors do. For example, on the first question, you have the complex number 7-6i, which is equivalent to a vector with an x-component of 7 and a y-component of -6. You're adding -5+-+2i which is another vector. To add them graphically, you could use the parallelogram rule or the head-to-tail method.

The second one is similar, but you have to subtract the vectors instead. (Hint: vectors follow the commutative properties and other arithmetic properties as real numbers do!)