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Ch 03: Vectors and Coordinate Systems

Chapter 3, Problem 3

Trace the vectors in FIGURE EX3.1 onto your paper. Then find (a) A + B

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Hey, everyone in this problem, given the vectors A and B, we're asked to find A plus B following the rules of vector edition. Now we're giving the vector B drawn in green and this is a vector that's pointing up into the right. It looks like almost at a 45 degree angle. Then we have vector A drawn in red vector A is a longer vector than vector B. It's pointing up into the left and it is a, it is steeper. OK. So the angle between the horizontal and A is larger than the angle for vector B. So what we wanna do is we wanna add these two vectors A plus B. Now when we wanna add vectors graphically, what we wanna do is we wanna add tip to tell. So when we're talking about the tip of a vector, what we mean is the end with the arrow and the tail is gonna be that opposite bent. OK. So we're gonna take our first vector A, we're gonna draw that out. That's vector A and to the tip of vector A, we wanna add the tail of vector B. So the end with the arrow of A is gonna connect with the end without the arrow of vector B, we're gonna draw B from that point and it looks something like this. OK. So we have vector A vector B and the resulting vector is gonna be the vector that forms a triangle with these two. OK. So vector A is one side of our triangle. Vector B is another side. And if we connect the two to form a triangle, the vector that points from the tail of vector A to the tip of vector B is going to be A plus B. OK. Our resulting vector that we were looking for, that's it for this one. Thanks everyone for watching. I hope this video helped.