Skip to content

Course home

1.10 Vectors

1.10 Vectors

EasyMediumHard
1234567891011121314151617181920212223242526
Question 25

Relative to a fixed origin OOO, the points AAA, B B\,B and C C\,C have position vectors

a=i+j+k\mathbf{a} = \mathbf{i} + \mathbf{j} + \mathbf{k}a=i+j+k, b=3i+3k\mathbf{b} = 3\mathbf{i} + 3\mathbf{k}b=3i+3k, c=2i+3j+3k\mathbf{c} = 2\mathbf{i} + 3\mathbf{j} + 3\mathbf{k}c=2i+3j+3k

a.

Show that the triangle ABC ABC\,ABC is isosceles.

[4]
b.

Find the exact area of the triangle ABCABCABC.

[3]
Markscheme

1.10 Vectors Questions

  1. A Level
  2. /Maths
  3. /1.10 Vectors

197 exam-style questions on OCR A Level Maths 1.10 Vectors, covering 1.10.1 Vectors in two dimensions, 1.10.2 Vectors in three dimensions (A-level only), 1.10.3 Magnitude and direction of vectors, 1.10.4 Basic operations on vectors, 1.10.5 Position vectors, 1.10.6 Distance between points, 1.10.7 Problem solving using vectors, 1.10.8 Vectors in kinematics, and 1.10 Vectors. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank