Find intersection point given lines are known to intersect

Questions where intersection is already established or given, and the task is purely to find the coordinates or position vector of the intersection point.

1 questions · Standard +0.3

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Pre-U Pre-U 9794/1 2013 June Q10

6 marks Standard +0.3

10 Two intersecting straight lines have equations $$\frac { x - 5 } { 4 } = \frac { y - 11 } { 3 } = \frac { z - 7 } { - 5 } \quad \text { and } \quad \frac { x - 9 } { - 2 } = \frac { y - 4 } { 1 } = \frac { z + 4 } { 4 } .$$ Find the coordinates of their point of intersection.