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Current time:0:00Total duration:2:55

Comparing the components of vectors

Video transcript

we're asked which of the following vectors have the same X component as vector a and they tell us to select all that apply so this is vector a right over here we only have to concern ourselves with the X component that's what they're asking us about so let's think about what its X component is we're starting at this point right over here which has an x value of negative 2 and we're going from negative 2 to or we're going from x equals negative 2 to X is equal to negative 5 so our change in X or what another way to think about our X component we're going from negative 2 to negative 5 we just our x value goes down by 3 so we have negative 3 we could say our change in X is equal to negative 3 or that would also be the X component of vector a we could say that vector a is equal to its X component is negative 3 we're not concerning ourselves with our Y component but we see that our Y goes up by 1 so it's negative 3 comma 1 but we just want to we just care about our X component so let's think about what other vectors here have an X component of negative 3 that if we start at our initial point and go to the terminal point our x value has gone down by 3 well we're going to start with vector with vector B here and let's see if we start there if we start our x value is 3 and our initial point our starting point for that vector and then to go to the x value of the terminal point we once again we went down by 3 so this has the same X component vector B vector B is going to be negative 3 comma something so I will select that one let's think about vector C vector C starts here at x equals negative 4 and then it ends at x equals negative 1 so it's X component is going to look one way to think about it our change in X is going to look like this and you might be tempted to say this the same thing it has a length of 3 but notice we're not going 3 to the left the way that we did in vector a and vector B we're going 3 to the right so here our change in X is positive 3 and so vector C vector C is going to be positive three comma something so it's not going to be vector C now let's look at vector D vector D starts over here that's its x value is negative six and we're going from x equals negative six to x equals negative nine so once again we have gone down our change in X is negative three so that has the same X component if I were to say vector D I would say it's negative three comma something I haven't figured out what these are but I don't need to for this problem so vector D also has the same X component and X component of negative three and we're done