Skip to content

Course home

Sign up

Vectors

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212
Question 204

Relative to a fixed origin OOO, the point A A\,A has position vector (4i−j+3k)(4\mathbf{i} - \mathbf{j} + 3\mathbf{k})(4i−j+3k) and the point C C\,C has position vector (ai+j+5k)(a\mathbf{i} + \mathbf{j} + 5\mathbf{k})(ai+j+5k), where a a\,a is a constant and a>0a > 0a>0.

Given that ∣AC⃗∣=5|\vec{AC}| = 5∣AC∣=5, find the value of aaa.

[3]
Markscheme

Vectors Questions

  1. A Level
  2. /Maths
  3. /Vectors

309 exam-style questions on Edexcel A Level Maths Vectors, covering 12.1 3D Coordinates, 12.2 Vectors in 3D, 12.3 Solving Geometric Problems, and 12.4 Application to Mechanics. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank