Question: Please help with the solution to the following two questions. This is Vector Calculus (Vector Analysis). Find a unit vector in the plane of the

Please help with the solution to the following two questions. This is Vector Calculus (Vector Analysis).

  1. Find a unit vector in the plane of the vectors a = i 3j + k and b = j + 3k, perpendicular to the vector c = 2i j + 2k.
  2. Decompose the vector v = 2i + j k into vectors parallel and perpendicular to a = 2i j + k.

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