Mathematics in Physics

JEE Main level, single correct, medium

24 of 121

Question 24 of 121

AssertionA:AssertionA: If A,B,C,DA,B,C,D are four points on a semi-circular arc with a centre at OO such that ∣AB⃗∣=∣BC⃗∣=∣CD⃗∣.|\vec{AB}|=|\vec{BC}|=|\vec{CD}|. Then, AB⃗+AC⃗+AD⃗=4AO⃗+OB⃗+OC⃗\vec{AB}+\vec{AC}+\vec{AD}=4\vec{AO}+\vec{OB}+\vec{OC}
ReasonR:ReasonR: Polygon law of vector addition yields AB⃗+BC⃗+CD⃗+AD⃗=2AO⃗\vec{AB}+\vec{BC}+\vec{CD}+\vec{AD}=2\vec{AO}

In the light of the above statements, choose the most appropriate answer from the options given below.

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Answer: (D) Both AA and RR are correct but RR is not the correct explanation of A.A.

Polygon law is applicable in both but the equation given in the reason is not useful in explaining the assertion.

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