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GB-34-01-001 · Column-vector arithmetic

Given a=(28)\mathbf{a}=\begin{pmatrix}2\\8\end{pmatrix} and b=(74)\mathbf{b}=\begin{pmatrix}7\\4\end{pmatrix}, find 5a−b5\mathbf{a}-\mathbf{b}.

Column Vectors: Calculations Booklet p. 89
Method
1) Multiply scalar into both top (x) and bottom (y) components
2) Subtract corresponding components (watch negative signs!)
Worked Example (GB-34-01-001)
1)
Multiply both components of a by 5.
2)
(336)\begin{pmatrix}3\\36\end{pmatrix}
Ans = (336)\begin{pmatrix}3\\36\end{pmatrix}