Complex Rotation
1. The problem asks us to find the complex number obtained by rotating the complex number $2+i$ by 90° anticlockwise.
2. A rotation of 90° anticlockwise in the complex plane corresponds to multiplying the complex number by $i$.
3. The original complex number is $2+i$.
4. Multiply by $i$ to rotate 90° anticlockwise:
$$ (2+i) \times i = 2i + i^2 $$
5. Recall that $i^2 = -1$, so substitute:
$$ 2i + (-1) = -1 + 2i $$
6. Therefore, after rotation, the new complex number is $-1 + 2i$.
Answer: $-1 + 2i$