Let a, b and c be three unit vectors, out of which vectors b and c are non-parallel. If α and β a...

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Let a, b and c be three unit vectors, out of which vectors b and c are non-parallel. If α and β are the angles which vector a⃗ makes with vectors b⃗ and c⃗ respectively and a⃗×(b⃗×c⃗)=1/2b⃗, then |α-β| is equal to :
[JEE Main - 2019 (January)]
(1) 30^∘
(2) 90^∘
(3) 60^∘
(4) 45^∘

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