Question 11 - A-Level Maths

Find the acute angle between the lines \(L _ { 1 }\) and \(L _ { 2 }\), giving your answer to the nearest \(0.1 ^ { \circ }\)
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The lines \(L _ { 1 }\) and \(L _ { 2 }\) lie in the plane \(\Pi _ { 1 }\)
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1. Find the equation of \(\Pi _ { 1 }\), giving your answer in the form r.n \(= d\)
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(ii) Hence find the shortest distance of the plane \(\Pi _ { 1 }\) from the origin. 11
The points \(A ( 4 , - 1 , - 1 ) , B ( 1,5 , - 7 )\) and \(C ( 3,4 , - 8 )\) lie in the plane \(\Pi _ { 2 }\)
Find the angle between the planes \(\Pi _ { 1 }\) and \(\Pi _ { 2 }\), giving your answer to the nearest \(0.1 ^ { \circ }\)