Additional Mathematics 0606 / Vectors / 3.233.23: Scaled direction vector and linear combination0606/11/O/N/21 — Question 3 · 6 marksMark as done · Save for later · Show all solutions(a)Find the vector which has magnitude 393939 and is in the same direction as (5−12)\begin{pmatrix} 5 \\ -12 \end{pmatrix}(5−12).[2]▸ Answer(b)Given a=(1−2)\mathbf{a} = \begin{pmatrix} 1 \\ -2 \end{pmatrix}a=(1−2) and b=(5−4)\mathbf{b} = \begin{pmatrix} 5 \\ -4 \end{pmatrix}b=(5−4), find constants mmm and nnn such that 5a+m(45)=nb5\mathbf{a} + m\begin{pmatrix} 4 \\ 5 \end{pmatrix} = n\mathbf{b}5a+m(45)=nb.[4]▸ Answer▸ Official mark scheme← 3.22: Point dividing AC and perpendicular through B3.40: Section formula and vector equation for m,nm,nm,n →
