Paper 3 October/November 2006 MATHEMATICH (9709/3) 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 points $A$ and $B$ have position vectors given by $\overrightarrow {OA} = i + 2j + 2k$ and $\overrightarrow {OB} = 3i + 4j$. The point $P$ lies on the line $AB$ and $OP$ is perpendicular to $AB$.
a) Find a vector equation for the line $AB$.
b) Find the position vector of $P$.
c) Find the equation of the plane which contains $AB$ and which is perpendicular to the plane $OAB$, giving your answer in…