To find the product of the complex numbers 3i and 4, we simply multiply them together following the rules of complex number multiplication.
First, let’s write it out: 3i * 4.
Here, 3i is a complex number where the real part is 0 and the imaginary part is 3. The number 4 is a real number, which we can think of as 4 + 0i for our multiplication.
Now, we apply the multiplication:
- 3i * 4 = 12i
Thus, the product of the complex numbers 3i and 4 is 12i.
In conclusion, when we multiply a complex number by a real number, the result is still a complex number where the real part is 0 and the imaginary part is 12.