Question

which drawing shows $overrightarrow{ab}$, $overrightarrow{ac}$, and $overrightarrow{bd}$?

Explanation:

Step1: Define vector endpoints

A vector $\overrightarrow{XY}$ starts at $X$ and ends at $Y$.

• $\overrightarrow{AB}$: Starts at $A$, ends at $B$
• $\overrightarrow{AC}$: Starts at $A$, ends at $C$
• $\overrightarrow{BD}$: Starts at $B$, ends at $D$

Step2: Match to correct diagram

Check each option:

1. Top-left: $\overrightarrow{AB}$ direction is wrong.
2. Top-right: $\overrightarrow{BD}$ direction is wrong.
3. Bottom-left: $\overrightarrow{AB}$ (A→B), $\overrightarrow{AC}$ (A→C), $\overrightarrow{BD}$ (B→D) all match.
4. Bottom-right: $\overrightarrow{AC}$ direction is wrong.

Answer:

The bottom-left drawing (third option, with horizontal segment AB, downward vector AC from A, downward vector BD from B)