Cartesian equation of a plane

Questions asking to find the Cartesian equation of a plane in the form ax + by + cz = d, given points, vectors, or other geometric information.

26 questions · Standard +0.6

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AQA Further Paper 1 2024 June Q5
5 marks Standard +0.3
5 The points \(A , B\) and \(C\) have coordinates \(A ( 5,3,4 ) , B ( 8 , - 1,9 )\) and \(C ( 12,5,10 )\) The points \(A , B\) and \(C\) lie in the plane \(\Pi\) 5
  1. Find a vector that is normal to the plane \(\Pi\)
    [0pt] [3 marks]
    5
  		2. Find a Cartesian equation of the plane \(\Pi\)