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# Find parametric equations and symmetric equations for the line.The line through $(2, 1, 0)$ and perpendicular to both $i + j$ and $j + k$

## $x=2+t$$y=1-t$$z=t$and$x-2=\frac{y-1}{-1}=z$

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##### Lily A.

Johns Hopkins University

##### Heather Z.

Oregon State University

##### Michael J.

Idaho State University

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### Video Transcript

Okay. So what do you want to do is Is find the equation of a line that passes to the point to one direction perpendicular to both high carb plus Jacob and Jacob Jacob. So what we have to do is find the victor, who is, who is this line is normal. And to do that we have to take the cross product of these two lines. So let's do that. Let me call this be and I need to take the correspondent of this guy. So 110 You know 1 1 this is I cap this one minus zero. My name is Jacob times 101,100. And he says again one that's K. Cup times This guy here which is just 1 1 -01. This is one again this is I cab managed Jacob let's kick so this is the victor to freeze. I am normal than to find the parametric equation or the symmetric whatever This is X -2. They've hired by one was equal to 1 -1, divided -1 As we called him and zero divided by one. And then to find a parametric equation I got this guy to T And then I have x equals two plus 2. Why equals two minus t plus one. And g quest repeat this is my parametric equations

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##### Lily A.

Johns Hopkins University

##### Heather Z.

Oregon State University

##### Michael J.

Idaho State University

Lectures

Join Bootcamp