The largest value of a, for which the perpendicuar distance of the plane containing the lines \(... VIDEO
The largest value of a, for which the perpendicuar distance of the plane containing the lines \( r=(\hat{i}+\hat{j})+\lambda(\hat{i}+a \hat{j}-\hat{k}) \) and \( r=(\hat{i}+\hat{j})+\mu(-\hat{i}+\hat{j}-a \hat{k}) \) from the point \( (2,1,4) \) is \( \sqrt{3} \), is
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