The diagram depicts quadrilateral $OACB$. $\vec{OA} = \vec{a}$ and $\vec{OB} = \vec{b}$. $OB$ runs parallel to $AC$, and $AC = 2OB$.
(a(i))[1]
Find $\vec{AB}$, in simplest form, using $a$ and $b$.
(a(ii))[1]
Find $\vec{OC}$, in simplest form and in terms of $a$ and $b$.
(b)[3]
Point $X$ lies on $OC$ with $OX : XC = 4 : 1$. Determine $\vec{BX}$. Give your answer in the simplest form in terms of $a$ and $b$.
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This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The required vector is $b-a$.” …
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