Final answer:
To calculate the product of the complex numbers q, e, and d, first multiply q and e to get 96, then multiply that result by d to end up with 192i.
Step-by-step explanation:
The question requires us to calculate the product of three complex numbers: q = 11 - 5i, e = 11 + 5i, and d = 2i. To do this, we will multiply these numbers step by step.
- First, multiply q and e: (11 - 5i)(11 + 5i). This is a product of two conjugates, which results in a difference of squares: 121 - (-5i)^2 = 121 - 25 = 96.
- Now, multiply the result by d: 96(2i) = 192i.
Hence, the product q · e · d equals 192i.