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Numerade Educator

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Problem 15 Easy Difficulty

Find the sum of the given vectors and illustrate geometrically.

$ \langle -1, 4 \rangle , \langle 6, -2 \rangle $

Answer

$$
<5,2>
$$

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Video Transcript

mhm. Our goal for this problem is to find the sum of the given vectors and illustrated illustrate geometrically. So let's get rid of this and we'll go back to the grids so we'll show the X axis and the y axis as well as our grid. So when we do some vectors we're going to have negative on four is our first factor. So negative 1234 That's our first factor, shouldn't be wavy, but that's okay. And then six, is give me your next factor. So when we add these, we're going to use what's known as the parallelogram hole. So because these are both next to each other, we can create a parallelogram in which we produced this factor right here, basically connect all the vectors together and then this vector right here until it reaches this. And this creates a parallelogram. What's known as the parallelogram. So we see that by doing this, the sum is going to be 52 And sure enough it was pretty close, it went over five, but it should be more like up here