00:01
Okay, so for this problem, we need to set the vectors ab equal to the vector cd here.
00:08
So that means first we'll need to find ac or ab and cd.
00:14
So first, ab, okay, this is going to be the vector here.
00:19
We'll do 6 minus 3, 10 minus 4.
00:24
So this is going to be the vector 3, 6 .6.
00:28
And then for cd this is going to be the vector so we'll take d minus c so it's going to be b plus 4 minus a plus 2 comma a minus 2 minus b plus 5 so let's simplify this a little bit i'll have negative a plus b and then 4 minus 2 it's going to be negative 2 and then comma i have a minus b and then comma i have a minus b and then i have a negative 2 minus 5, so that's going to be minus 7.
01:07
Now, to set these two vectors equal to each other, we just set the two components equal to each other.
01:12
So it's going to be this and this.
01:15
So i write that as negative a plus b minus 2 is equal to 3, and then we'll also have a minus b minus 7 is equal to 6.
01:27
So then let's simplify, let's put the a and b on the same side.
01:33
So we have negative a plus b...