Assertion $\mid \mathrm{A}$ : If $\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}$ are four points on a semi-circular arc with centre at ' O ' such that $|\overrightarrow{\mathrm{AB}}|=|\overrightarrow{\mathrm{BC}}|=|\overrightarrow{\mathrm{CD}}|$, then $\overrightarrow{\mathrm{AB}}+\overrightarrow{\mathrm{AC}}+\overrightarrow{\mathrm{AD}}=4 \overrightarrow{\mathrm{AO}}+\overrightarrow{\mathrm{OB}}+\overrightarrow{\mathrm{OC}}$
Reason $\mathbf{R}$ : Polygon law of vector addition yields $\overrightarrow{\mathrm{AB}}+\overrightarrow{\mathrm{BC}}+\overrightarrow{\mathrm{CD}}+\overrightarrow{\mathrm{AD}}=2 \overrightarrow{\mathrm{AO}}$
In the light of the above statements, choose the most appropriate answer from the options given below :
Select the correct option:
A
A is correct but R is not correct.
B
A is not correct but R is correct.
C
Both A and R are correct and R is the correct explanation of A.
D
Both A and R are correct but R is not the correct explanation of A.
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Polygon law is applicable in both but the equation given in the reason is not useful in explaining the assertion.
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