A-LevelFurther MathematicsVectorsMay/June 2014Paper 1 Q1111 Marks
The line l₁ passes through the points A (2, 3, −5) and B (8, 7, −13). The line l₂ passes through the points C (-2, 1, 8) and D (3, −1, 4). Find the shortest distance between the lines l₁ and l₂. The plane Π₁ passes through the points A, B and D. The plane Π₂ passes though the points A, C and D. Find the acute angle between Π₁ and Π₂, giving your answer in degrees.
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