Questions: Plot the complex number on the complex plane and write it in polar form and in exponential form. 11 i

Transcript text: Plot the complex number on the complex plane and write it in polar form and in exponential form. \[ 11 i \]

Solution

Solution Steps

Step 1: Convert to Polar Form

The complex number $11i$ can be written in polar form as: \[ r = |11i| = 11 \] \[ \theta = \frac{\pi}{2} \] So, the polar form is: \[ 11e^{i\frac{\pi}{2}} \]

Step 2: Convert to Exponential Form

The exponential form of the complex number is: \[ 11e^{i\frac{\pi}{2}} \]

Final Answer

The complex number $11i$ in polar form is $11e^{i\frac{\pi}{2}}$ and in exponential form is $11e^{i\frac{\pi}{2}}$.

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