Question

Let \(z_1\) and \(z_2\) be two complex numbers, then the dot product of \(z_1\) and \(z_2\) is :

• A. \(|z_1||z_2|\)
• B. \(|z_1||z_2|\sin\theta\)
• C. \(|z_1||z_2|\cos\theta\)
• D. \(|z_1||z_2|\tan\theta\)

Hint:

Remember that the dot product of any two vectors (or complex numbers viewed as vectors) is always associated with the cosine of the angle between them:
\[ \mathbf{u} \cdot \mathbf{v} = \|\mathbf{u}\| \|\mathbf{v}\| \cos\theta \]
This rule is universal across geometry and vector algebra.

Answer 1

The Correct Option is C