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Question 350008
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Three Dimensional Geometry: Distance from point to plane MCQ

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Distance from point to planeHardQuestion 350008

Question

The distance from point (x₁,y₁,z₁) to plane ax+by+cz+d=0 is:
  1. A
    |ax₁+by₁+cz₁+d|/√(a²+b²+c²)
    Correct
  2. B
    (ax₁+by₁+cz₁+d)/(a+b+c)
  3. C
    |ax₁+by₁+cz₁|/√(a²+b²+c²)
  4. D
    √(a²+b²+c²)

Correct answer

|ax₁+by₁+cz₁+d|/√(a²+b²+c²)

Explanation

Distance = |ax₁+by₁+cz₁+d| / √(a²+b²+c²). This is analogous to the 2D formula |ax₁+by₁+c|/√(a²+b²).

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