41.7k views
4 votes
What is the product of z and w? –20 10i –15 5i 8 – 4i 20 – 10i

1 Answer

3 votes

Final answer:

The product of z and w is -160 + 40i.

Step-by-step explanation:

To find the product of z and w, we multiply the real parts and the imaginary parts separately.

The real part of z is -20 and the real part of w is 8. So, the product of the real parts is (-20)*(8) = -160.

The imaginary part of z is 10i and the imaginary part of w is -4i. So, the product of the imaginary parts is (10i)*(-4i) = -40i^2 = 40.

Therefore, the product of z and w is -160 + 40i.

User Wahkuna
by
8.1k points