Question: If $\mathbf{a} = (2,5)$ and $\mathbf{b} = (1,4),$ then the vector parallel to \((\mathbf{a} + \m...

Question

If $\mathbf{a} = (2,5)$ and $\mathbf{b} = (1,4),$ then the vector parallel to $(\mathbf{a} + \mathbf{b})$ is

Answer 1

$\mathbf{a} + \mathbf{b} = 3\mathbf{i} + 9\mathbf{j} = 3(\mathbf{i} + 3\mathbf{j}).$ Hence it is parallel to $(1,3).$

Question: If \(\mathbf{a} = (2,5)\) and \(\mathbf{b} = (1,4),\) then the vector parallel to \((\mathbf{a} + \m...