Vector Lines (Edexcel A Level Further Maths: Core Pure)

Exam Questions

6 mins1 question
1a
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3 marks

The line l subscript 1has equation

fraction numerator x minus 1 over denominator 2 end fraction equals fraction numerator y plus 1 over denominator negative 1 end fraction equals fraction numerator z minus 4 over denominator 3 end fraction

The line l subscript 2 has equation

bold r space equals bold i space plus space 3 bold k space plus space t left parenthesis space bold i space minus space bold j space plus space 2 bold k right parenthesis

where t is a scalar parameter.

a)
Show that l subscript 1 and l subscript 2 lie in the same plane.
1b
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3 marks
(b)
Find, to the nearest degree, the acute angle between l subscript 1 and l subscript 2

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