Paper 3 October/November 2009 MATHEMATICH (9709/32) A Levels
لطفا برای اطمینان از عملکرد و تجربه بهتر از مرورگرهای مدرن و به روز مانند کروم یا فایرفاکس استفاده کنید.

With respect to the origin $O$, the lines $l$ and $m$ have vector equations $r = 2i + k + \lambda \left( {i - j + 2k} \right)$ and $r = 2j + 6k + \mu \left( {i + 2j - 2k} \right)$ respectively.
a) Prove that $l$ and $m$ do not intersect.
b) Calculate the acute angle between the directions of $l$ and $m$.
c) Find the equation of the plane which is parallel to $l$ and contains $m$, giving your answer in the form $\alpha x + by + cz =…