Given the vectors in component form:
\[ \mathbf{r} = \langle 8, 4 \rangle \]
\[ \mathbf{s} = \langle -3, -4 \rangle \]
\[ \mathbf{t} = \langle -5, 1 \rangle \]
Perform the operation: \(5\mathbf{r} - 3\mathbf{s} + 8\mathbf{t}\).
What is the magnitude and direction angle of the resultant vector?
A. 10.8, \(\theta = 56.3^\circ\)
B. 18.4, \(\theta = 119.4^\circ\)
C. 41.0, \(\theta = 77.3^\circ\)
D. 97.6, \(\theta = 24.2^\circ\)