If \(\overrightarrow { a } =\hat { i } +\hat { j } +\hat { k }\) , \(\overrightarrow { b } =4\hat { i } +3\hat { j } +4\hat { k }\) and \(\overrightarrow { c } =\hat { i } +\alpha \hat { j } +\beta \hat { k }\) are linearly dependent vectors and \(\left| \overrightarrow { c } \right| =\sqrt { 3 } \) then

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