\( \mathrm{P} \) Find the value of \( \lambda \) for which the give...

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\( \mathrm{P} \)
Find the value of \( \lambda \) for which the given planes are perpendicular to each
WV other:
\[
\vec{r} \cdot(\lambda \hat{i}+2 \hat{j}+3 \hat{k})=5 \text { and } \vec{r} \cdot(\hat{i}+2 \hat{j}-7 \hat{k})+11=0
\]
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