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1.11 Vectors

1.11 Vectors

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Question 14

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

1.11 Vectors Questions

  1. A Level
  2. /Maths
  3. /1.11 Vectors

168 exam-style questions on OCR (MEI) A Level Maths 1.11 Vectors, covering 1.11.1 Language of vectors in two dimensions, 1.11.2 Add, subtract and scale vectors, 1.11.3 Magnitude and direction of a vector, 1.11.4 Position vectors, 1.11.5 Distance between points by position vectors, 1.11.6 Vectors to solve problems, 1.11.7 Language of vectors in three dimensions (A-level only), and 1.11 Vectors. Each one has a worked solution and a mark scheme showing where the marks go.

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