(3i).jpeg "(-3i)(3i)")
Understanding (-3i)(3i)
This expression involves multiplying two imaginary numbers: -3i and 3i. To solve it, we need to remember the following:
- i² = -1: The square of the imaginary unit i is equal to -1. This is the fundamental definition of i.
Let's break down the calculation:
- Multiply the coefficients: (-3) * (3) = -9
- Multiply the imaginary units: (i) * (i) = i²
- Substitute i² with -1: -9 * i² = -9 * (-1)
Therefore, (-3i)(3i) = 9.
Important Note: The product of two imaginary numbers is a real number. This is because the i² term becomes -1, eliminating the imaginary component.