2. (a) Find parametric equations for the line through the points P(1,1,2) and Q(2, 2, 1). (b) Prove that the parametric equations x = 5+ 3s, y = 5+3s, z = Е —2 — 3s also describe the line that you found in part (a). (c) Is the line described by the symmetric equations z – 2 у — 1 x – 1 = 2 | 3 orthogonal to the line that you found in part (a)? If it is, prove it! If not, explain why not.

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.