If \(\lambda_1<\lambda_2\) are two values of \(\lambda\) such that the angle between the plan....

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If \(\lambda_1<\lambda_2\) are two values of \(\lambda\) such that the angle between the planes \(P_1: \vec{r}(3 \hat{i}-5 \hat{j}+k)=7\) and \(P_2: \vec{r} \cdot(\lambda \hat{i}+\hat{j}-3 k)=9\) is \(\sin ^{-1}\left(\frac{2 \sqrt{6}}{5}\right)\), then the square of the length of perpendicular from the point \(\left(38 \lambda_1, 10 \lambda_2, 2\right)\) to the plane \(P_1\) is šŸ“²PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live




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