Homework Help: calculus

Posted by Zac on Tuesday, January 15, 2013 at 2:14pm.

Find parametric equations for the line that is perpendicular to the plane 2x-y+3z=7 and intersects the plane when x=1 and y=1.

calculus - Reiny, Tuesday, January 15, 2013 at 5:38pm
when x=1 and y = 1
in the plane:
2-1 + 3z = 7
z = 2
so the line will intersect at (1,1,2)
and the direction of the line will be (2,-1,3), the normal to the plane

line equation:
x = 1 + 2t
y = 1 - t
z = 2 + 3t

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