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# Is the line through $(-2, 4, 0)$ and $(1, 1, 1)$ perpendicular to the line through $(2, 3, 4)$ and $(3, -1, -8)$?

## no

Vectors

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##### Top Calculus 3 Educators ##### Catherine R.

Missouri State University ##### Heather Z.

Oregon State University ##### Kristen K.

University of Michigan - Ann Arbor ##### Michael J.

Idaho State University

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### Video Transcript

So what we want to do is to check is the line passing through minus to 40 And 1 1. 1. Is this part particular? The line passing through 2, 3, 4 & 3 -1 -8. This is the question. And could you do this? But it just check is that if the normal vectors are put normal vector satisfy this condition. So first you find the normal vector here which is one last thing, Then 1 -4, then one. And the normal vector here is just 3 -2 -1 -3 and -8 -4, which is one -4 -2. And this is three -3. Young ones, this is normal, that is name to and then to check if they are perpendicular to each other, we need to just check if anyone dot and 20 or not. This is what we have checked to see if that particular not understand that. So what is anyone without? And to This is three times 1. Last -3 times -4. Last one times -12. This is three plus 12 -12, Which is three and this is not zero. So these two lines are not perpendicular to each other. Not yet.

#### Topics

Vectors

##### Top Calculus 3 Educators ##### Catherine R.

Missouri State University ##### Heather Z.

Oregon State University ##### Kristen K.

University of Michigan - Ann Arbor ##### Michael J.

Idaho State University

Lectures

Join Bootcamp