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

Exam code: 9FM0

6 mins1 question
1a
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3 marks

The line l subscript 1 has 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 equals bold i plus 3 bold k plus t left parenthesis bold i minus bold j plus 2 bold k right parenthesis

where t is a scalar parameter.

Show that l subscript 1 and l subscript 2 lie in the same plane.

1b
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3 marks

Find, to the nearest degree, the acute angle between l subscript 1 and l subscript 2.