AQA Further Paper 1 2019 June — Question 10

Exam BoardAQA
ModuleFurther Paper 1 (Further Paper 1)
Year2019
SessionJune
TopicVectors: Cross Product & Distances

10 The points \(A ( 5 , - 4,6 )\) and \(B ( 6 , - 6,8 )\) lie on the line \(L\). The point \(C\) is \(( 15 , - 5,9 )\). 10
  1. \(D\) is the point on \(L\) that is closest to \(C\).
    Find the coordinates of \(D\).
    10
  2. Hence find, in exact form, the shortest distance from \(C\) to \(L\).