# Practice Active Given $\vec{\pi}=\{4,- 1\}$ and $\vec{\nu}=\{3,3\}$, find the magnitude of $\vec{\mu}+ 2 \vec{\pi}$. A. $2 \sqrt{3}$ B. 11 C. $\sqrt{122}$ D. 122 Please select the best answer from the choices provided O A O B O C O D
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Answer

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Step 1
: First, find the vector addition of $\vec{\mu}$ and $2\vec{\pi}$.

\vec{\mu} + 2\vec{\pi} = \{4,-1\} + 2\{3,3\}
To do this, add the corresponding components of the vectors.

Step 2
: This simplifies to:

\vec{\mu} + 2\vec{\pi} = \{4,-1\} + \{6,6\}

Final Answer

B. 11 (with the understanding that this is an approximation)