9709 P33 - Jun 2012 - Q9
2160
The lines l and m have equations r = 3i - 2j + k + λ(-i + 2j + k) and r = 4i + 4j + 2k + μ(ai + bj - k), respectively, where a and b are constants.
- Given that l and m intersect, show that 2a - b = 4.
- Given also that l and m are perpendicular, find the values of a and b.
- When a and b have these values, find the position vector of the point of intersection of l and m.
