Let L₁ : \(\overrightarrow{r}\) = (\(\hat{i}\) - \(\hat{j}\) + 2\(\hat{k}\)) + λ (\(\hat{i}\) - \(\hat{j}\) + 2\(\hat{k}\)), λ ∈ R

L₂ : \(\overrightarrow{r}\) = (\(\hat{j}\) - \(\hat{k}\)) + μ (3\(\hat{i}\) + \(\hat{j}\) + p\(\hat{k}\)), μ ∈ R and

L₃ : \(\overrightarrow{r}\) = δ (ℓ\(\hat{i}\) + m\(\hat{j}\) + n\(\hat{k}\)), δ ∈ R

Be three lines such that L₁ is perpendicular to L₂ and L₃ is perpendicular to both L₁ and L₂. Then the point which lies on L₃ is