If \(\overrightarrow{a}= 2\hat{i}+2\hat{j}+3\hat{k}\) , \(\overrightarrow{b}= -\hat{i}+2\hat{j}+\hat{k}\) and \(\overrightarrow{c}= 3\hat{i}+\hat{j}\) are such that \(\overrightarrow{a}+λ \overrightarrow{b}\) is perpendicular to \(\overrightarrow{c}\) , then find the value of λ.

1
4
2
8
3
2
4
-4

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