It is a pure imaginary number.
Since (a+bi)-(a-bi) = 2bi, it is a pure imaginary number (it has no real component).
Their sum is real.
The conjugate of a complex number is obtained by changing the sign of its imaginary part. For the complex number (8 + 4i), the conjugate is (8 - 4i).
For a complex number (a + bi), its conjugate is (a - bi). If the number is graphically plotted on the Complex Plane as [a,b], where the Real number is the horizontal component and Imaginary is vertical component, the Complex Conjugate is the point which is reflected across the real (horizontal) axis.
A conjugate number refers to a complex number having both the imaginary and real parts of opposite signs and equal magnitude.
No difference. The set of complex numbers includes the set of imaginary numbers.
Yes. By definition, the complex conjugate of a+bi is a-bi and a+bi - (a - bi)= 2bi which is imaginary (or 0)
When a complex number is multiplied by its conjugate, the product is a real number and the imaginary number disappears.
Yes they do, complex conjugate only flips the sign of the imaginary part.
Their sum is real.
The conjugate of a complex number is obtained by changing the sign of its imaginary part. For the complex number (8 + 4i), the conjugate is (8 - 4i).
Since the imaginary portion of a real number is zero, the complex conjugate of a real number is the same number.
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The complex conjugate of a number in the form a + bi is simply the same number with the sign of the imaginary part changed. In this case, the number is 7 + 3i, so its complex conjugate would be 7 - 3i. This is because the complex conjugate reflects the number across the real axis on the complex plane.
For a complex number (a + bi), its conjugate is (a - bi). If the number is graphically plotted on the Complex Plane as [a,b], where the Real number is the horizontal component and Imaginary is vertical component, the Complex Conjugate is the point which is reflected across the real (horizontal) axis.
To find the complex conjugate of a number, change the sign in front of the imaginary part. Thus, the complex conjugate of 14 + 12i is simply 14 - 12i.
A conjugate number refers to a complex number having both the imaginary and real parts of opposite signs and equal magnitude.
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