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Section 12.2: Vectors

Exercise 42

  1. Find the unit vectors that are parallel to the tangent line to the curve \(y = 2 \sin x\) at the point \((\pi/6, 1)\).
  2. Find the unit vectors that are perpendicular to the tangent line.
  3. Sketch the curve \(y = 2 \sin x\) and the vectors in parts (a) and (b), all starting at \((\pi/6, 1)\).