यदि \(\overrightarrow{a}= 2\hat{i}+2\hat{j}+3\hat{k}\) , \(\overrightarrow{b}= -\hat{i}+2\hat{j}+\hat{k}\) और \(\overrightarrow{c}= 3\hat{i}+\hat{j}\) ऐसे हैं कि \(\overrightarrow{a}+λ \overrightarrow{b}\) \(\overrightarrow{c}\) के लंबवत है, तो λ का मान ज्ञात कीजिए।

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