Question

(a) Find parametric equations for the line through (5, 3, 6) that is perpendicular to the...

(a) Find parametric equations for the line through

(5, 3, 6)

that is perpendicular to the plane

x − y + 3z = 1.

(Use the parameter t.)

(x(t), y(t), z(t)) =

  



(b) In what points does this line intersect the coordinate planes?

xy-plane     (x, y, z) =
  
yz-plane     (x, y, z) =
  
xz-plane     (x, y, z) =
  

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