The line $ l_1 $ passes through the point with position vector $ 8\mathbf{i} + 8\mathbf{j} - 7\mathbf{k} $ and is parallel to the vector $ 4\mathbf{i} + 3\mathbf{j} $. The line $ l_2 $ passes through the point with position vector $ 7\mathbf{i} - 2\mathbf{j} + 4\mathbf{k} $ and is parallel to the vector $ 4\mathbf{i} - \mathbf{k} $. The point P on $ l_1 $ and the point Q on $ l_2 $ are such that PQ is perpendicular to both $ l_1 $ and $ l_2 $. In either order,

Q: What topic does this question test?

This question tests Vectors in A-Level Further Mathematics (syllabus code 9231). It is worth 9 marks.

Q: Which exam paper is this question from?

This question appeared in the Cambridge A-Level Further Mathematics May/June 2011 examination, Paper 1 Variant 2 (9231_s11_qp_12.pdf).

Question

The line $ l_1 $ passes through the point with position vector $ 8\mathbf{i} + 8\mathbf{j} - 7\mathbf{k} $ and is parallel to the vector $ 4\mathbf{i} + 3\mathbf{j} $. The line $ l_2 $ passes through the point with position vector $ 7\mathbf{i} - 2\mathbf{j} + 4\mathbf{k} $ and is parallel to the vector $ 4\mathbf{i} - \mathbf{k} $. The point P on $ l_1 $ and the point Q on $ l_2 $ are such that PQ is perpendicular to both $ l_1 $ and $ l_2 $. In either order,

Oracle Prep · Accepted Answer

Sign up to Oracle Prep to view the full model answer with examiner insights.

📋 Examiner Report & Trap Analysis

🎯 Mark Scheme Breakdown

Unlock the Examiner's Analysis

About This A-Level Further Mathematics Question

Topic

Source

Practice on Oracle Prep

Related Further Mathematics Questions