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The questions says that the line is parallel to plane x + y + z = 2 and perpendicular to the line x = 1 + t, y = 1 -t, z = 2t

My question is if the line is parallel to the plane it must be perpindicular to the planes normal, right? If this is true shouldnt the vector representation of the line x = 1 + t, y = 1 -t, z = 2t which is <1,-1,2> be parallel to the planes normal?

The questions says that the line is parallel to plane x + y + z = 2 and perpendicular to the line x = 1 + t, y = 1 -t, z = 2t

My question is if the line is parallel to the plane it must be perpindicular to the planes normal, right? If this is true shouldnt the vector representation of the line x = 1 + t, y = 1 -t, z = 2t which is <1,-1,2> be parallel to the planes normal?