1. Dados os vetores \mathbf{a} = 2\hat{i} + 3\hat{j} + 5\hat{k}, \mathbf{b} = \hat{i} + 2\hat{j} - 1\hat{k} e \mathbf{c} = 4\hat{k}, calcule:
(a) \mathbf{d} = \mathbf{a} + \mathbf{b}
(b) \mathbf{d} = \mathbf{a} - \mathbf{b}
(c) \mathbf{d} = \mathbf{b} - \mathbf{a}
(d) \mathbf{d} = 2\mathbf{a}
(e) \mathbf{d} = 2(\mathbf{a} + \mathbf{b})
(f) \mathbf{d} = -3(\mathbf{a} + \mathbf{b})
(g) \mathbf{d} = \frac{1}{2}(\mathbf{a} + \mathbf{b})
(h) \mathbf{d} = -0.5(\mathbf{a} + \mathbf{b})
(i) \mathbf{d} = (\mathbf{a} + \mathbf{b}) + \mathbf{c}
(j) \mathbf{d} = \mathbf{a} + (\mathbf{b} + \mathbf{c})
(k) ???? = |\mathbf{a}|
(l) ???? = |2\mathbf{a}|