Additional Mathematics 0606 / Vectors / 3.103.10: Opposite direction vector and linear combination0606/11/M/J/22 — Question 5 · 5 marksMark as done · Save for later · Show all solutions(a)Find the vector which is in the opposite direction to (15−8)\begin{pmatrix} 15 \\ -8 \end{pmatrix}(15−8) and has a magnitude of 8.58.58.5.[2]▸ Answer(b)Find the values of aaa and bbb such that 5(3ab)+(2a+12)=6(a+b2)5\begin{pmatrix} 3a \\ b \end{pmatrix} + \begin{pmatrix} 2a + 1 \\ 2 \end{pmatrix} = 6\begin{pmatrix} a + b \\ 2 \end{pmatrix}5(3ab)+(2a+12)=6(a+b2).[3]▸ Answer▸ Official mark scheme← 3.29: Meeting point of two particles3.12: Unit vector and equating column vectors →