which of the following best represents $vec{a}-vec{b}=vec{c}$?

Explanation:

Step1: Recall vector - subtraction rule

Vector subtraction $\vec{A}-\vec{B}=\vec{A}+(-\vec{B})$. To subtract vector $\vec{B}$ from $\vec{A}$, we reverse the direction of $\vec{B}$ and then add it to $\vec{A}$ using the triangle law of vector addition.

Step2: Analyze the first option

In the first option, the direction of $\vec{B}$ is not reversed correctly for the subtraction operation.

Step3: Analyze the second option

When we reverse the direction of $\vec{B}$ (get $-\vec{B}$) and then add it to $\vec{A}$ using the triangle - law of vector addition (place the tail of $-\vec{B}$ at the head of $\vec{A}$), the resultant vector $\vec{C}$ is drawn correctly according to the rule $\vec{A}-\vec{B}=\vec{C}$.

Step4: Analyze the third option

In the third option, the vectors are not combined according to the rules of vector subtraction.

Answer:

The second option best represents $\vec{A}-\vec{B}=\vec{C}$.