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Let f : R3 R: f (x, y, z) = x 2 + y 2 + z 2 be a scalar field. Describe the level

Let f : R3 R: f (x, y, z) = x2 + y2 + z2 be a scalar field.

  1. Describe the level surface f(x, y, z) = a2
  2. Find (f)P, where P (x0 , y0 , z0 )
  3. Let O (0, 0, 0) be the origin. What is the relationship between OP and (f)P?

Hi, can you help me to solve this, please?

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