Vector operations worksheet with problems involving addition, subtraction, scalar multiplication, and magnitude calculations.

Final Answer:
2a + b = $\begin{pmatrix} 4 \\ 0 \\ 4 \end{pmatrix}$
a − 2b = $\begin{pmatrix} 2 \\ -5 \\ 7 \end{pmatrix}$
2a − c = $\begin{pmatrix} 7 \\ -4 \\ 5 \end{pmatrix}$
a + b + c = $\begin{pmatrix} -1 \\ 3 \\ 2 \end{pmatrix}$
3b + 2c = $\begin{pmatrix} -6 \\ 10 \\ -4 \end{pmatrix}$
c + b = $\begin{pmatrix} -3 \\ 4 \\ -1 \end{pmatrix}$
|c| = $\sqrt{14}$
|c + b| = $\sqrt{26}$
|2a + b| = $\sqrt{32}$
|2c + b| = $\sqrt{78}$
|a − 2b| = $\sqrt{78}$
|b − a| = $\sqrt{38}$