Find \( \lambda \) if the following planes are at right angles: \( ...

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Find \( \lambda \) if the following planes are at right angles:
\( \mathrm{P} \)
\[
\vec{r} \cdot(2 \hat{i}-\hat{j}-\lambda \hat{k})=7 \text { and } \vec{r} \cdot(3 \hat{i}+2 \hat{j}+2 \hat{k})=9
\]
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