Exercise 24

Determine whether the given vectors are orthogonal, parallel, or neither. (a) \(\mathbf{u} = \langle -5, 4, -2 \rangle, \mathbf{v} = \langle 3, 4, -1 \rangle\) (b) \(\mathbf{u} = 9\mathbf{i} - 6\mathbf{j} + 3\mathbf{k}, \mathbf{v} = -6\mathbf{i} + 4\mathbf{j} - 2\mathbf{k}\) (c) \(\mathbf{u} = \langle c, c, c \rangle, \mathbf{v} = \langle c, 0, -c \rangle\)