00:01
So for number 57, we're looking to plot some points or complex numbers in the complex plane and try to figure out what type of triangle is formed by that complex number that we plot.
00:16
It's conjugate and the origin.
00:20
So if we've got any complex number, let's just say it's a plus b .i.
00:27
Remember, the conjugate would be a minus.
00:33
We change the sign of that imaginary part and we use the origin as a point.
00:41
Let's see if we can plot these and hopefully figure out the type of triangle that would be formed.
00:49
So here is our complex plane.
00:53
Real numbers or the real parts are graphed on the horizontal axis, the imaginary part on the vertical axis.
01:01
And if we think about a plus b, the a value and the b value being both positive, then that point would end up in the first quadrant.
01:16
Here's where a plus b i would end up that point.
01:22
So if we looked at the modulus or the absolute value of that number, it would be the distance from the origin to that point.
01:32
So we already have two vertices of that triangle there...