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The question asks about the position of a complex number \( z = 1 - 3i \) on the complex plane and whether it lies in the third quadrant.

To determine the correct answer:

- The complex number \( z = 1 - 3i \) can be written as \( z = a + bi \), where \( a = 1 \) (the real part) and \( b = -3 \) (the imaginary part).
- On the complex plane, the horizontal axis represents the real part, and the vertical axis represents the imaginary part.
  - The real part is positive, meaning it lies to the right of the origin.
  - The imaginary part is negative, meaning it lies below the real axis.

Therefore, \( z = 1 - 3i \) is located in the **fourth quadrant**, not the third quadrant.

Thus, the statement that \( z = 1 - 3i \) lies in the third quadrant is **false (salah)**.

Would you like more details or explanations? 

Here are 5 related questions for further practice:
1. What quadrant does the complex number \( z = -2 + 4i \) lie in?
2. How do you determine the quadrant of a complex number?
3. What is the modulus of the complex number \( z = 1 - 3i \)?
4. What are the real and imaginary parts of \( z = -5 + 2i \)?
5. How do you plot complex numbers on the complex plane?

**Tip:** Always remember that the real part determines the horizontal axis (positive for right, negative for left), and the imaginary part determines the vertical axis (positive for up, negative for down).

Bilangan kompleks z = 1 - 3i jika digambarkan pada bidang kompleks, maka berada di kuadran III. Pernyataan tersebut adalah ....

Learn about how to determine the quadrant of a complex number like z = 1 - 3i on the complex plane. This problem explores the relationship between the real and imaginary parts of a complex number and how they place the number in a specific quadrant.

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