OCR MEI Further Pure Core AS Specimen — Question 7

Exam BoardOCR MEI
ModuleFurther Pure Core AS (Further Pure Core AS)
SessionSpecimen
TopicVectors: Lines & Planes

7 The plane \(\Pi\) has equation \(3 x - 5 y + z = 9\).
  1. Show that \(\Pi\) contains
    • the point (4,1,2)
      and
    • the vector \(\left( \begin{array} { l } 1
      1
      2 \end{array} \right)\).
    • Determine the equation of a plane which is perpendicular to \(\Pi\) and which passes through ( \(4,1,2\) ).