OCR Further Pure Core 1 2018 December — Question 1

Exam BoardOCR
ModuleFurther Pure Core 1 (Further Pure Core 1)
Year2018
SessionDecember
TopicVectors: Cross Product & Distances

1 Points \(A , B\) and \(C\) have coordinates \(( 0,1 , - 4 ) , ( 1,1 , - 2 )\) and \(( 3,2,5 )\) respectively.
  1. Find the vector product \(\overrightarrow { A B } \times \overrightarrow { A C }\).
  2. Hence find the equation of the plane \(A B C\) in the form \(a x + b y + c z = d\).