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 a makes with vectors b and c respectively and a × (b × c) = 1/2b, then |α - β| is equal to

Let a , b and c be three unit vectors, out of which vectors… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 12 Jan · Shift II

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

\alpha

and

\beta

are the angles which vector a makes with vectors b and c respectively and

\mathbf{a} \times (\mathbf{b} \times \mathbf{c}) = \frac{1}{2}\mathbf{b}

, then

|\alpha - \beta|

is equal to

Show answer

Correct option: A

[JEE Main 2019 · 12 Jan · Shift II]

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