Assertion $A$ : If $A , B , C , D$ are four points on a semi-circular arc with a centre at $O$ such that $| \overrightarrow { A B } | = | \overrightarrow { B C } | = | \overrightarrow { C D } |$. Then, $\overrightarrow { A B } + \overrightarrow { A C } + \overrightarrow { A D } = 4 \overrightarrow { A O } + \overrightarrow { O B } + \overrightarrow { O C }$ Reason $R$ : Polygon law of vector addition yields $\overrightarrow { A B } + \overrightarrow { B C } + \overrightarrow { C D } + \overrightarrow { A D } = 2 \overrightarrow { A O }$ In the light of the above statements, choose the most appropriate answer from the options given below. (1) $A$ is correct but $R$ is not correct. (2) $A$ is not correct but $R$ is correct. (3) Both $A$ and $R$ are correct and $R$ is the correct explanation of $A$. (4) Both $A$ and $R$ are correct but $R$ is not the correct explanation of $A$.
Assertion $A$ : If $A , B , C , D$ are four points on a semi-circular arc with a centre at $O$ such that $| \overrightarrow { A B } | = | \overrightarrow { B C } | = | \overrightarrow { C D } |$. Then, $\overrightarrow { A B } + \overrightarrow { A C } + \overrightarrow { A D } = 4 \overrightarrow { A O } + \overrightarrow { O B } + \overrightarrow { O C }$
Reason $R$ : Polygon law of vector addition yields $\overrightarrow { A B } + \overrightarrow { B C } + \overrightarrow { C D } + \overrightarrow { A D } = 2 \overrightarrow { A O }$
In the light of the above statements, choose the most appropriate answer from the options given below.\\
(1) $A$ is correct but $R$ is not correct.\\
(2) $A$ is not correct but $R$ is correct.\\
(3) Both $A$ and $R$ are correct and $R$ is the correct explanation of $A$.\\
(4) Both $A$ and $R$ are correct but $R$ is not the correct explanation of $A$.