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If a, b and c be unit vectors such that a is perpendicular to the plane of b and c and the angle between b and c is π/3 , find |a + b + c|.

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If a, b and c be unit vectors such that a is perpendicular to the plane of b and c and the angle between b and c is π/3 , find |a + b + c|.

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Given a.b = 0 = a.c

= 4

Thus, |a + b + c| = 2.

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