Paper 3 May/June 2011 MATHEMATICS (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 position vectors of two points $A$ and $B$ are given by $\overrightarrow {OA} = i + 2j + 2k$ and $\overrightarrow {OB} = 3i + 4j$. The point $P$ lies on the line through $A$ and $B$, and $\overrightarrow {AP} = \lambda \overrightarrow {AB} $.
a) Show that $\overrightarrow {OP} = \left( {1 + 2\lambda } \right)i + \left( {2 + 2\lambda } \right)j + \left( {2 - 2\lambda } \right)k$.
b) By equating expressions for…