Best Answer

It is a pure imaginary number.

Since (a+bi)-(a-bi) = 2bi, it is a pure imaginary number (it has no real component).

Q: Is the difference of a complex number and its conjugate a real imaginary or pure imaginary number?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

Their sum is real.

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.

The conjugate of a complex number is the same number (but the imaginary part has opposite sign). e.g.: A=[5i - 2] --> A*=[-5i - 2] Graphically, as you change the sign, you also change the direction of that vector. The conjugate it's used to solve operations with complex numbers. When a complex number is multiplied by its conjugate, the product is a real number. e.g.: 5/(2-i) --> then you multiply and divide by the complex conjugate (2+i) and get the following: 5(2+i)/(2-i)(2+i)=(10+5i)/5=2+i

Related questions

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.

Since the imaginary portion of a real number is zero, the complex conjugate of a real number is the same number.

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.

Aamir jamal; All real numbers are complex numbers with 0 as its imaginary part.A real number is self-conjugate. e.g;a+0i self conjugate =a-0i i=iota

No difference. The set of complex numbers includes the set of imaginary numbers.

The conjugate of a complex number is the same number (but the imaginary part has opposite sign). e.g.: A=[5i - 2] --> A*=[-5i - 2] Graphically, as you change the sign, you also change the direction of that vector. The conjugate it's used to solve operations with complex numbers. When a complex number is multiplied by its conjugate, the product is a real number. e.g.: 5/(2-i) --> then you multiply and divide by the complex conjugate (2+i) and get the following: 5(2+i)/(2-i)(2+i)=(10+5i)/5=2+i

For any number (a + bi), its conjugate is (a - bi), so the real part stays the same, and the imaginary part is negated.For this one, conjugate of [-3 - 9i] is: -3 + 9i