5.
(a) By using the Right-Hand Rule, determine the direction of vector $\overrightarrow{C}$.
i) $\overline{A}\times \overrightarrow{B}=\overline{C}$
ii) $\overrightarrow{B}\times \overrightarrow{A}=\overrightarrow{C}$

Step 1 ：The Right-Hand Rule is a method used to determine the direction of the cross product in vector multiplication. For $\overrightarrow{A}\times \overrightarrow{B}=\overrightarrow{C}$, if you point your index finger in the direction of $\overrightarrow{A}$ and your middle finger in the direction of $\overrightarrow{B}$, your thumb will point in the direction of $\overrightarrow{C}$.

Step 2 ：For $\overrightarrow{B}\times \overrightarrow{A}=\overrightarrow{C}$, if you point your index finger in the direction of $\overrightarrow{B}$ and your middle finger in the direction of $\overrightarrow{A}$, your thumb will point in the direction of $\overrightarrow{C}$.

Step 3 ：Final Answer: For $\overrightarrow{A}\times \overrightarrow{B}=\overrightarrow{C}$, the direction of $\overrightarrow{C}$ is the direction your thumb is pointing when your index finger is pointing in the direction of $\overrightarrow{A}$ and your middle finger is pointing in the direction of $\overrightarrow{B}$.

Step 4 ：For $\overrightarrow{B}\times \overrightarrow{A}=\overrightarrow{C}$, the direction of $\overrightarrow{C}$ is the direction your thumb is pointing when your index finger is pointing in the direction of $\overrightarrow{B}$ and your middle finger is pointing in the direction of $\overrightarrow{A}$.