A Level Further Maths

A Level Further Maths Further Vectors and 3D Geometry Exam Questions

Free A Level Further Maths exam questions on Further Vectors and 3D Geometry, with full model answers. Covers scalar product, lines, intersections, angles, shortest distances (point to line).

Further Vectors and 3D Geometry exam questions

1 question pack of real past exam questions with its mark scheme. Answer every question without notes, then mark your answers line by line against the mark scheme.

About A Level Further Maths Further Vectors and 3D Geometry

Further Vectors and 3D Geometry is part of Pure Maths in A Level Further Maths. These questions suit AQA, Edexcel, OCR A, OCR B (MEI), WJEC, Cambridge International, Edexcel International, OxfordAQA International and CCEA A Level Further Maths students. Answer the pack without notes, then mark every line against the model answers and redo the questions you dropped marks on.

What you need to know

  • Lines Vector equations of lines.
  • Planes r.n = d and Cartesian form.
  • Angles and distances Using scalar and vector products.

Common mistakes in Further Vectors and 3D Geometry

  • Using direction vectors wrongly.
  • Missing the modulus.

Try two Further Vectors and 3D Geometry exam-style questions

1. State the scalar product condition for perpendicular vectors. (1 mark)

Show the mark scheme answer

a.b = 0

2. What does the vector product give? (1 mark)

Show the mark scheme answer

A vector perpendicular to both

Further Vectors and 3D Geometry FAQs

Which exam boards include Further Vectors and 3D Geometry?

These questions suit AQA, Edexcel, OCR A, OCR B (MEI), WJEC, Cambridge International, Edexcel International, OxfordAQA International and CCEA A Level Further Maths.

Is Further Vectors and 3D Geometry pure, mechanics or statistics?

Further Vectors and 3D Geometry is part of Pure Maths.

How should I use these Further Vectors and 3D Geometry questions?

Answer every question without notes, then check each line against the model answers and redo any you got wrong.