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Standard Vector form equation of the plane

Question

  1. What is the cartesion equation of a plane with vector equation equation to r.(3i + j – 2k) = 5
  2. Determine the distance from the plane from origin for equation 3x + y – 2k = 51

 

Answer

  1. 3x + y – 2k = 5
  2. 51/√14

Note:

Cartesian equation of the plane

Ax+By+Cz = D

Standard vector form equation of the plane

r.n = D

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