# What quadrant will the product of (2+ 3i) and (-3 -4i) be located in?

Jul 20, 2017

The product lies in $4$ th quadrant at $\left(6 , - 17\right)$

#### Explanation:

$\left(2 + 3 i\right) \cdot \left(- 3 - 4 i\right) = - 6 - 8 i - 9 i - 12 {i}^{2}$

$= - 6 - 17 i + 12 \left[{i}^{2} = - 1\right] = 6 - 17 i$ i.e

$6$ unit in positive x -axis and $17$ unit in negative y-axis.

So the product lies in $4$ th quadrant at $\left(6 , - 17\right)$ [Ans]