Question 1
What is the result of the vector addition $\vec{a} = \begin{pmatrix} 1 \\ 2 \end{pmatrix}$ and $\vec{b} = \begin{pmatrix} 3 \\ 4 \end{pmatrix}$?
Question 2
If the vector $\vec{c} = \begin{pmatrix} 2 \\ 3 \end{pmatrix}$ is multiplied by the scalar 2, what is the resulting vector?
Question 3
What is the magnitude of the vector $\vec{d} = \begin{pmatrix} 3 \\ 4 \end{pmatrix}$?
Question 4
Which of the following represents a vector in three dimensions?
Question 5
If $\vec{e} = \begin{pmatrix} 1 \\ 1 \\ 1 \end{pmatrix}$ and $\vec{f} = \begin{pmatrix} 2 \\ 2 \\ 2 \end{pmatrix}$, what is $\vec{e} + \vec{f}$?
