Let ABCDEF be a regular hexagon in the x-y plane and AB = 4 i . Then CD is equal to

JEE Advanced Mathematics question

Let be a regular hexagon in the - plane and . Then is equal to

Answer: (B)

*(Figure: regular hexagon labelled anticlockwise A(0, 0), B(4, 0), C(6, 2√3), D(4, 4√3), E, F.)*

Going round a regular hexagon (anticlockwise), each side vector is the previous one rotated by the exterior angle . All sides have length :

= 4( 0° i + 0°

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Question ID VK-110051