College

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, \(\theta = 24.2^\circ\)

Answer :

Answer:

C

Step-by-step explanation:

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