Chapter 1, Problem 13RP

To determine

To prove: B is the midpoint of $\overrightarrow{AC}$

Explanation of Solution

Given information: The following information has been given

  $\overrightarrow{AB}=\overrightarrow{BC}$

Formula used: The midpoint of a line is equidistant from both the ends of that line

Proof: Using the given information we can say that

As

  $\overrightarrow{AB}=\overrightarrow{BC}$ ,

Then

  $\left|AB\right|=\left|BC\right|$

Thus, we can say that the point is equidistant from both the ends of that line

Thus, we can also say that B is the Midpoint of $\overrightarrow{AC}$

Hence, proved the given statement