In this problem, we’re given two dotted vectors on a coordinate grid, and Diego has drawn a third vector in a solid line, which represents a result of a complex operation involving these vectors.

Let’s break down what we see:

1. The first vector in dotted lines appears to go from the origin to $(-5,5)$, which can be represented as $-5 + 5i$.
2. The second vector starts at the origin and points to $(4, -2)$, represented as $4 - 2i$.

The solid vector Diego drew seems to represent the result of a complex operation on these two vectors. Looking at the direction and length, it resembles a subtraction operation where we combine the two dotted vectors.

Now, examining each option:

• Option A: $(4 + 2i) \cdot (6 + 6i)$ - This is a multiplication operation, which would alter the length and angle significantly, not matching the drawn vector.
• Option B: $(2 + 4i) + (4 + 10i)$ - This results in an entirely different complex vector, which doesn’t match the solid line.
• Option C: $(4 + 2i) - (-10 + 4i)$ - This would change the vector significantly, not fitting the observed vector.
• Option D: $(4 + 2i) - (10 - 4i)$