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The Complex Plane Video Lecture | CSIR NET Crash Course for Mathematics - CSIR NET Mathematics
FAQs on The Complex Plane Video Lecture - CSIR NET Crash Course for Mathematics - CSIR NET Mathematics
| 1. What is the complex plane in mathematics? |  |
Ans. The complex plane is a geometric representation of complex numbers, where the horizontal axis represents the real part of a complex number, and the vertical axis represents the imaginary part.
| 2. How is a complex number represented on the complex plane? | |
Ans. A complex number is represented as a point on the complex plane, with its real part along the horizontal axis and its imaginary part along the vertical axis. It can also be represented in the form a + bi, where a is the real part and bi is the imaginary part.
| 3. What is the modulus of a complex number on the complex plane? | |
Ans. The modulus of a complex number is the distance from the origin of the complex plane to the point representing the complex number. It is calculated as the square root of the sum of the squares of the real and imaginary parts.
| 4. How can operations like addition and multiplication be visualized on the complex plane? | |
Ans. Addition of complex numbers is represented by vector addition on the complex plane, where the sum is the diagonal of the parallelogram formed by the vectors. Multiplication of complex numbers involves scaling and rotation of the original complex number.
| 5. How is the complex conjugate of a complex number related to its representation on the complex plane? | |
Ans. The complex conjugate of a complex number is obtained by negating the imaginary part. Geometrically, the complex conjugate reflects the point representing the complex number across the real axis on the complex plane.
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Dec 22, 2024 Last updated |
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