1. The problem is to find the value of the expression $11i$, where $i$ is the imaginary unit defined by $i^2 = -1$. 2. Since $i$ is the imaginary unit, multiplying it by a real number simply scales the imaginary part. 3. Therefore, $11i$ is just $11$ times the imaginary unit. 4. The expression $11i$ is already in its simplest form and represents a purely imaginary number with magnitude $11$. Final answer: $11i$