Walker, Halliday & Resnick — Vectors: Problem 9

9 Consider two vectors \(\vec{a} = (5.0)\hat{i} - (4.0)\hat{j} + (2.0)\hat{k}\) and \(\vec{b} = (-2.0)\hat{i} + (2.0)\hat{j} + (5.0)\hat{k}\), where \(m\) is a scalar. Find (a) \(\vec{a} + \vec{b}\), (b) \(\vec{a} - \vec{b}\), and (c) a third vector \(\vec{c}\) such that \(\vec{a} - \vec{b} + \vec{c} = \vec{0}\).