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in Three Dimensional Geometry by (47.9k points)

Determine the value of m, if line \(\vec{r} = (\hat{i} - 2\hat{j} + \hat{k}) + \lambda(2\hat{i} + \hat{j} + 2\hat{k})\) is parallel to the plane \(\vec{r}.(3\hat{i} - 2\hat{j} + m\hat{k}) = 3.\)

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∵ Given lines are parallel to each other.

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