Question

If u = 3 – 4i and v = 3i + 6, what is u – v.?

Answer 1

u - v = (3 - 4i) - (3i + 6) = 3 - 4i - 3i - 6 = -3 - 7i

Answer 2

`u-v=-3-7i`

Explanation:

We have been given two equations
`u=3-4i` and
`v=3i+6`. We are asked to find the value of
`u-v`.

Let us subtract value of v from u as:

`u-v=3-4i-(3i+6)`

First of all, we remove parenthesis as:

`u-v=3-4i-3i-6`

Now, we will combine the real part of equation with real part and imaginary part with imaginary part as:

`u-v=3-6-4i-3i`

`u-v=-3-7i`

Therefore, the value of
`u-v` is
`-3-7i`.