Calculus
posted by Anon .
a) Find parametric equations for the line through (4, 1, 4) that is perpendicular to the plane x − y + 2z = 7. (Use the parameter t.)
b) In what points does this line intersect the coordinate planes?
xyplane?
yzplane?
xzplane?

the normal to the plane has direction cosines proportional to <1,1,2>, so
x = 4+t
y = 1t
z = 4+2t
xyintercept:
z=0, so t = 2
(2,3,0)
and so on
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