The magnitude of a complex number is a measure of its distance from the origin on the complex plane. It is also known as the modulus or absolute value.
The magnitude of a complex number can be calculated using the Pythagorean theorem, where the real and imaginary parts of the complex number are treated as the sides of a right triangle. The magnitude is equal to the square root of the sum of the squares of the real and imaginary parts.
The magnitude of a complex number is important in understanding the behavior of the number in operations such as addition, subtraction, multiplication, and division. It also helps in determining the distance between two complex numbers.
No, the magnitude of a complex number is always positive. It represents a distance, and distance cannot be negative.
The magnitude of a complex number and its conjugate are always equal. This means that the distance between a complex number and its conjugate on the complex plane is always the same.