Equation of a line perpendicular to two vectors

[morsel]

Homework Statement

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,>

Homework Equations

Parametric equ:
x = x_0 + at
y = y_0 + bt
z = z_0 + ct

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>?

 

[LCKurtz]

Looks pretty much OK. Your cross product and parametric equations are correct. Check your signs on the symmetric version.

 

[morsel]

Thanks for catching that.