Airforce X Y / Indian Navy SSR Exam > Airforce X Y / Indian Navy SSR Videos > Mathematics for Airmen Group X > Modulus of a Complex Number
Modulus of a Complex Number Video Lecture | Mathematics for Airmen Group X - Airforce X Y / Indian Navy SSR
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FAQs on Modulus of a Complex Number Video Lecture - Mathematics for Airmen Group X - Airforce X Y / Indian Navy SSR
| 1. What is the modulus of a complex number? |  |
Ans. The modulus of a complex number, denoted by |z|, is a measure of its magnitude or distance from the origin in the complex plane. It is calculated as the square root of the sum of the squares of the real and imaginary parts of the complex number.
| 2. How is the modulus of a complex number calculated? | |
Ans. To calculate the modulus of a complex number z = x + yi, where x is the real part and y is the imaginary part, we use the formula |z| = √(x^2 + y^2). This formula represents the distance between the origin and the point (x, y) in the complex plane.
| 3. What is the significance of the modulus of a complex number? | |
Ans. The modulus of a complex number provides information about its magnitude or size. It is often used in various mathematical operations involving complex numbers, such as finding the argument (angle) of a complex number, calculating the absolute value, or performing complex number arithmetic.
| 4. How does the modulus relate to the absolute value of a complex number? | |
Ans. The modulus of a complex number is equivalent to its absolute value. The absolute value of a complex number represents its distance from the origin on the complex plane. Therefore, the terms modulus and absolute value are often used interchangeably in the context of complex numbers.
| 5. Can the modulus of a complex number be negative? | |
Ans. No, the modulus of a complex number is always a non-negative real number. Since it represents a distance, it cannot be negative. If the modulus of a complex number is negative, it indicates an error in calculation or a misunderstanding of the concept.
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Jan 04, 2025
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