The position vectors of points \(A\) and \(B\) relative to an origin \(O\) are \[ \overrightarrow{O A}=\binom{4}{-2} \text { and } \overrightarrow{O B}=\binom{-4}{6} . \] The point \(C\) lies on \(A B\) and is such that \(A C: C B=3: 1\). The point \(D\) lies on \(O A\) such that \(\overrightarrow{O D}=\lambda \overrightarrow{O A}\) and \(\overrightarrow{C D}=\binom{5}{-5.5}\). (a) Find \(\overrightarrow{O D}\). (b) Hence find the value of \(\lambda\). [1]

2026 - M/J - 0606/12 | Q11

0/13

0 correct · 0 wrong

The position vectors of points \(A\) and \(B\) relative t...