Question
In name all rays with initial points as $A, B$ and $C$ respectively.
$i.\ $Is ray $\overrightarrow{\text{AB}}$ different from ray $\overrightarrow{\text{AC}}$?
$ii.\ $Is ray $\overrightarrow{\text{BA}}$ different from ray $\overrightarrow{\text{CA}}$?
$iii.\ $Is ray $\overrightarrow{\text{CP}}$ different from ray $\overrightarrow{\text{CQ}}$?

Answer

Name of all rays with initial point as A: $\overrightarrow{\text{AP}}\ \text{and}\ \overrightarrow{\text{AB}}\ \text{or}\ \overrightarrow{\text{AC}}\ \text{or}\ \overrightarrow{\text{AQ}}$ Name of all rays with initial point as $B:$ $\overrightarrow{\text{BP}}\text{or}\ \overrightarrow{\text{BA}}\ \text{and}\ \overrightarrow{\text{BC}}\ \text{or}\ \overrightarrow{\text{BQ}}$ Name of all rays with initial point as C: $\overrightarrow{\text{CP}}\ \text{or}\ \overrightarrow{\text{CA}}\ \text{or}\ \overrightarrow{\text{CB}}\ \text{and}\ \overrightarrow{\text{CQ}}$
$i.\ $No, because the origin point of both the rays $\overrightarrow{\text{AB}}$ and $\overrightarrow{\text{AC}}$ is same.
$ii.\ $Yes, because the origin point of both the rays $\overrightarrow{\text{BA}}$ and $\overrightarrow{\text{CA}}$ is different.
$iii.\ $Yes, because both the rays $\overrightarrow{\text{CP}}$ and $\overrightarrow{\text{CQ}}$ are in opposite directions.

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