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Numerade Educator

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Problem 14 Easy Difficulty

Find a vector a with representation given by the directed line segment $ \vec{AB} $. Draw $ \vec{AB} $ and the equivalent representation starting at the origin.

$ A (0, 6, -1), B (3, 4, 4) $

Answer

$$
<3,-2,5>
$$

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Video Transcript

our goal for this problem is to um Draw the vector. So knowing are two points. Um We can I recognize that we're no longer dealing with two dimensional graphs and said we're going to be dealing with three dimensional graphs. So we'll get rid of the grid as well as the Y axis and X axis. So by getting rid of this, we can now draw our new coordinate system. This will be the X, Y Z coordinate system. So we have that are points are going to be 06 -1. So this is the X direction we go zero, This is the white direction we go six. Um And then down one. So let's say this is six, This is -1. So we see it's down here, so that's point A. And then point B is 344 So it's going to be right about here, four and then appears about four. So I have a point somewhere right about here, and then we'll see that this vector here can be translated over to the origin.