Hello and welcome. We're looking at chapter 12 Section two. Problem 20 on this problem were given two points to coordinates. Rest a form, a vector of those two points, but it needs to be in standard unit vector form. So, uh, that will look like V equals view one eye plus the two J plus the three K. Now, remember, I Is it a unit vector? It's the unit. Vector 100 Jay is similar, except it has a one on the Why coordinate and Kay Isa Unit Vector as well. I jane care the three unit vectors. A standard unit vector is sorry. Um, since the 001 okay is like ze court. So the first steps we need to find a vector, uh, make a vector out of these two points A and B. So the easiest way to do that is to use component form into terminal Maya's initials. We subject the terminal X value most initial X value and so on. For each record, this will be terminal mass initial negative, one minus one. So, be is the terminal. It's the second letter that makes it terminal is the first letter that makes the initial uh Then we do terminal minus initial for the why or minus zero and then five minus three. Dizzy. The third component. Simplifying this. We get negative too. Or two. Now, this is a component form it asked us for to put it in this form, this standard unit vector form all we have to do eyes look at the the first component second component in third component They listed as V one V to be three and the problem could think of them as the X, Y and Z. They just go with the corresponding unit vector. So you just multiply negative to buy I for by J and then to buy K. Now it's worth remembering that if you expanded I J and K into their unit vector forms and then did the scaler multiplication and added those three vectors together, it would lead you right back to the component form. So we were asked to take these two points A and B find the final vector a B and right in this standard unit vector form, the one I will speak to J plus the three K. That is exactly what we found here.