Question

Complete each of the following statements given z = 1 – 2i and w = –3 + 5i.

z + w = −2 + ____i
z − w = ____ – 7i
w − z = – 4 + ____i
a) 3, 4, 6
b) 3, 4, 8
c) 3, 7, 6
d) 2, 7, 4

Answer 1

To find the sum or difference of complex numbers, simply add or subtract the corresponding real and imaginary parts.

Step-by-step explanation:

To solve these equations, we can simply add or subtract the corresponding real and imaginary parts of the complex numbers.

For z + w, we have (1 - 2i) + (-3 + 5i) = -2 + 3i. So the answer is -2 + 3i.

For z - w, we have (1 - 2i) - (-3 + 5i) = 4 - 7i. So the answer is 4 - 7i.

For w - z, we have (-3 + 5i) - (1 - 2i) = -4 + 7i. So the answer is -4 + 7i.