ABCDEF is a regular hexagon in the xy plane and AB=4i then cD=?
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Given : ABCDEF is a regular hexagon in the xy plane and AB=4i
To find : cD=
Solution:
ABCDEF is a regular hexagon in the xy plane and AB=4i
i representing x plane
j representing y plane
AB = 4 i + 0 j
Magnitude of AB = √0² + 4² = 4
AB is at y plane
AB = 4 Cos0 i + j 4 Sin0
CD will be at 120 °
CD = 4 Cos 120 ° + j 4 Sin120
= 4 ( -1/2 i + √3 /2 j)
= 2( - i + √3 j)
= - 2( i - √3 j)
CD = - 2( i - √3 j)
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