Cho \(\Delta ABC\) có D thuộc cạnh AC sao cho \(AD = 2DC\).

A. \(\overrightarrow {AI}  = \frac{2}{3}\overrightarrow {AH}  - \frac{1}{2}\overrightarrow {AB} \)

B. \(\overrightarrow {AI}  = \frac{2}{3}\overrightarrow {AH}  + \frac{1}{{12}}\overrightarrow {AB} \)

C. \(\overrightarrow {AI}  = \frac{2}{3}\overrightarrow {AH}  - \frac{1}{{12}}\overrightarrow {AB} \)

D. \(\overrightarrow {AI}  = \frac{2}{3}\overrightarrow {AH}  + \frac{1}{2}\overrightarrow {AB} \)