(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the parametric and symmetric equations for the line through the point (2,1,0) and perpendicular to both <1,1,0> and <0,1,1,>

2. Relevant equations

Parametric equ:

x = x_0 + at

y = y_0 + bt

z = z_0 + ct

3. The attempt at a solution

Cross product of <1,1,0> and <0,1,1> = <1,-1,1> = <a,b,c>

Parametric equation:

x = 2 + t

y = 1 - t

z = t

Symmetric equation:

x-2 = y-1 = z

I'm not sure if I did this correctly. Is the cross product of the two vectors <a,b,c>?

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# Homework Help: Equation of a line perpendicular to two vectors

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