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If ${\hat{a}}_{1}, {\hat{a}}_{2} and {\hat{a}}_{3}$ are three unit vectors such that $|{\hat{a}}_{1} + {\hat{a}}_{2}| = |{\hat{a}}_{2} + {\hat{a}}_{3}| = \sqrt{3}$ , then find $|{\hat{a}}_{1} + {\hat{a}}_{3}|$

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Correct option is D

It is evident that angle between a^1 and a^2 = angle between a^2 and a^3=θ=600∴a^1 + a^3=12+12+2.1.1.cos2 x 60o=1

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If a^1, a^2 and a^3 are three unit vectors such that a^1+a^2=a^2+a^3=3, then find a^1+a^3

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If ${\hat{a}}_{1}, {\hat{a}}_{2} and {\hat{a}}_{3}$ are three unit vectors such that $|{\hat{a}}_{1} + {\hat{a}}_{2}| = |{\hat{a}}_{2} + {\hat{a}}_{3}| = \sqrt{3}$ , then find $|{\hat{a}}_{1} + {\hat{a}}_{3}|$