 Now we move to our last problem on the worksheet and this is e plus f equals g So I've got known values for e and I've got known values for g But I don't know f So rather than immediately plugging in my values for e and g Let's go ahead and do some algebra on the vector equation And when I do that in order to get f by itself I'm going to subtract e over to the other side Now it doesn't really matter if I say f equals g minus e or g minus e equals f Same thing depending on what you're doing with the algebra, but I'm moving the e over so I can find f by itself Once I've done that algebra Then I can come in and plug in my values So I'll put in my actual thing for G and e So there's my g vector values and my e vector values We're going to do the same sort of thing where you take the i parts and group them together And then j parts and group them together So I left with 4.2 minus 1.2 Listed as my i component and then the 4.7 minus the 7.4 for my j component And when you do that math You should come up with your final answer So this is what f is equal to So in the end just to make everything nice and clear on my worksheet I might clearly indicate my final answer that the vector f is equal to 3.0 I had minus 2.9 j hat