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Problem 7

Match the vector equations in Exercises 1-8 with …

Problem 6

Match the vector equations in Exercises 1-8 with the graphs (a)-(h) given here.
$$\mathbf{r}(t)=t \mathbf{j}+(2-2 t) \mathbf{k}, \quad 0 \leq t \leq 1$$


Graph B


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Video Transcript

okay, were given the victory equation. Um, our, uh, t is equal to, um t I plus t j plus t k and T goes from zero Teoh to inclusive. And, um, I am What we're needing to do is match this victory equation with its representative graph. And so we noticed that we have on the X the why and the sea. So I've got a look at my graphs and see which one has something in all three planes, and the only two would be D and E. And but this goes from 0 to 2. And so I noticed that d would be my best option. So let's look, let's look at the graph and discuss why. So here is why this is the and, of course, this is X coming out the board. Um and so, um, win, um, win t zero all of them. Or zero. Um, when tea is to all the X Y coordinates or two. So I notice that if I start off, hear it, too, and then, um, go to to hear and then go up to I end up with a point right here. And so this would be from 0 to 2 in my tea. That would be that vector and so d would be my logical choice

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