Q2. - Geometry

Question

Name the ray that is opposite to $\overrightarrow{\mathbf{NC}}$.

Step-by-Step Solution

Answer

The ray that is opposite to $\overrightarrow{NC}$ is $\overrightarrow{\mathbf{NR}}$.

Step 1. Definition of opposite ray.

A ray is said to be opposite to the given ray if the ray is starting from the same point but goes in the opposite direction to the given ray.

Step 2. Observe the diagram.

It can be noticed that the ray $\overrightarrow{BA}$ is opposite to the ray $\overrightarrow{BC}$ because both rays have the same starting point $B$ and the ray $\overrightarrow{BA}$ is going in the opposite direction to that of the ray $\overrightarrow{BC}$.

Step 3. Name the ray that is opposite to NC → by considering the definition of the opposite ray and the above diagram.

From the given diagram it can be noticed that:

The rays $\overrightarrow{NC}$ and $\overrightarrow{NR}$ are starting from the same point $N$ and are going in opposite directions.

Therefore, the ray that is opposite to $\overrightarrow{NC}$ is $\overrightarrow{NR}$.