+279 Suppose m = 2 + 6i, and | m + n | = 3√10, where n is a complex number.
a) what is the minimum value of the modulus of n?
b) provide one example of the complex number, n.
For a, I got √10 for the minimum value of modulus n.
Here's my work:
| 2 + 6i + n | = 3√10
- 2 + 6i - 2 + 6i
n = 3√10 - 2 + 6i
I then found the modulus of -2+6 and got 2√10, and replaced it, so I can solve the rest of the equation.
n = 3√10 - 2√10
n = √10
For b, I'm not really sure what it means by providing an example. I tend to overthink things, so if someone could maybe explain and help me, that would be appreciated! (And if I somehow got a wrong, please tell me what I did wrong! Thank :)
