Write the complex numbers that represent the following points in the plane:
(i) (2,3)
(ii) (0,2)
(iii) `(-(1)/(2),-(1)/(2))`

Answer

To represent the given points in the complex plane as complex numbers, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Points**:
Each point in the plane is represented as (x, y), where x is the real part and y is the imaginary part of the complex number.

2. **Point (2, 3)**:
- Here, x = 2 and y = 3.
- The complex number representation is:
\[ z_1 = 2 + 3i \]

3. **Point (0, 2)**:
- Here, x = 0 and y = 2.
- The complex number representation is:
\[ z_2 = 0 + 2i = 2i \]

4. **Point \((- \frac{1}{2}, - \frac{1}{2})\)**:
- Here, x = -\frac{1}{2} and y = -\frac{1}{2}.
- The complex number representation is:
\[ z_3 = -\frac{1}{2} - \frac{1}{2}i \]

### Final Answer:
The complex numbers representing the given points are:
1. \( z_1 = 2 + 3i \)
2. \( z_2 = 2i \)
3. \( z_3 = -\frac{1}{2} - \frac{1}{2}i \)