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Ch 01: Units, Physical Quantities & Vectors

Chapter 1, Problem 1

For the vectors A and B in Fig. E1.24, use a scale drawing to find the magnitude and direction of

(b) the vector difference A − B.

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Video transcript

welcome back everybody. We are given vectors M and N. And we have to figure out m minus n. Now, these are our four options of what M minus n. Could be. So here's what I'm gonna do. I'm gonna go ahead and redraw our X and Y axis here and we'll go ahead and calculate this subtraction together. So this is going to be our X. And this is going to be our Y. Remember we are trying to calculate m minus n. Well, I'm actually gonna rearrange this a little bit and I'm gonna say that this is the same as M plus negative N. Well, what is negative N. Well, when this negative sign is applied to the components of X and Y, it is going to essentially send it the other direction. So going back to our original graph over here negative N is going to look something like this. So now let's add em and negative N on our graph over here still let's rewrite them. So this is going to be our M. Go ahead and label M plus negative N plus negative. Now, in order to get the resultant vector, we are going to use the tip to tail method. I'm gonna start at where we started and draw to where we ended and this is going to give us our m minus and vector which gives us our final answer of answer choice. Thank you guys so much for watching. Hope this video helped. We will see you all in the next one