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STEP Support Programme

S2 Q5 2003

The lines EF and GH I have obtained both have the direction vector:

(L - a)/2 i + (m-b)/2 j + n/2 k

This implies that the two lines are parallel/ There is no unique intersection point.
How do I show that these two lines do intersect?

I have tried typing my working using Microsoft word but the formatting was affected when I pasted it here. What is the best way of typing maths on this forum?

Any help would be much appreciated!

Sorry, I spotted my mistake so will continue the second part of the question.


Useful Links

Underground Mathematics: Selected worked STEP questions

STEP Question database

University of Cambridge Mathematics Faculty: What do we look for?

University of Cambridge Mathematics Faculty: Information about STEP

University of Cambridge Admissions Office: Undergraduate course information for Mathematics

Stephen Siklos' "Advanced Problems in Mathematics" book (external link)

MEI: Worked solutions to STEP questions (external link)

OCR: Exam board information about STEP (external link)

AMSP (Advanced Maths Support programme): Support for University Admission Tests (external link)