Physics · 2021
JEE Main · 27 July 2021, Shift 1 · Q15
Assertion A: If A, B, C, D are four points on a semi-circular arc with centre at 'O' such that | AB |=| BC |=| CD |, then A B + A C + A D =4 A O + O…
Assertion A: If A, B, C, D are four points on a semi-circular arc with centre at 'O' such that $\displaystyle |\overrightarrow{\mathrm{AB}}|=|\overrightarrow{\mathrm{BC}}|=|\overrightarrow{\mathrm{CD}}|$, 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
$$\overrightarrow{\mathrm{AB}}+\overrightarrow{\mathrm{BC}}+\overrightarrow{\mathrm{CD}}=\overrightarrow{\mathrm{AD}}=2 \overrightarrow{\mathrm{AO}}
$$
In the light of the above statements, choose the most appropriate answer from the options given below:
Official answer
(2)
Both A and R are correct but R is not the correct explanation of A.
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JEE Main 2021 Physics question, with the answer from NTA’s final answer key. Where our answers come from.