If the line `vecr = (2hati+ hatj - hatk) + lambda(hati+mhatj-2hatk)` is parallel to the plane `vecr.(2hati+hatj+mhatk) = 1` then find the value of m.

Explanation

To solve the problem, we need to determine the value of \( m \) such that the line given by

\[ \vec{r} = (2\hat{i} + \hat{j} - \hat{k}) + \lambda(\hat{i} + m\hat{j} - 2\hat{k}) \]

is parallel to the plane defined by

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