Final answer:
To produce the complex number w2 from w1, you perform basic arithmetic with complex numbers, separately managing real and imaginary parts for addition or subtraction.
Step-by-step explanation:
The question is asking for the process which would yield the complex number w2 when a certain operation is performed on the complex number w1. To understand how to obtain w2, let's recall that adding or subtracting complex numbers is done by adding or subtracting their real parts separately from their imaginary parts. For instance, if w1 is some complex number represented as a + bi, where a and b are real numbers, and we want to add 3 - i to it, the result would be (a + 3) + (b - 1)i. Similarly, adding -9 + 3i to w1 will yield (a - 9) + (b + 3)i, subtracting 3 - i from w1 will result in (a - 3) + (b + 1)i, and subtracting -9 + 3i from w1 will give (a + 9) + (b - 3)i.