Q4 - Geometry

Question

For the following figure, determine $\overrightarrow{AB}$ is the same $\overrightarrow{BA}$ or not.

Step-by-Step Solution

Answer

No, $\overrightarrow{\mathbf{A}\mathbf{B}}$ is not the same $\overrightarrow{\mathbf{B}\mathbf{A}}$.

Step 1. Check the figure.

Consider the figure.

Step 2. Apply the concept of a ray.

A ray is a part of a line that has one endpoint and goes on infinitely in only one direction. It is represented by the one-headed arrow.

 

Thus, in a ray $\overrightarrow{AB}$, is the endpoint of the ray and its direction is towards in B, and in a ray $\overrightarrow{BA}$, B is the endpoint of the ray and its direction is towards in A.

Step 3. Step description.

Since both the ray $\overrightarrow{AB}$ and $\overrightarrow{BA}$ are in a different direction and represent two different rays, thus they are not the same.

 

Therefore, $\overrightarrow{AB}$ is not the same $\overrightarrow{BA}$.