(a)[1]
Find $\overrightarrow{AB}$ expressed in terms of a and b.
(b)[3]
Show that the position vector of T is given by $\frac{2}{5}(a+6b)$.
(c)[3]
Q lies on OB, and $\overrightarrow{QT}=\frac{1}{5}(2a-3b)$. Find $OQ:QB$.
Mathematics 4024 · O Level · Vectors in two dimensions
Vectors in two dimensions — practice question
The figure depicts triangle OAB. $\overrightarrow{OA}=a$ and $\overrightarrow{OB}=4b$. T lies on AB so that $AT:TB=3:2$.