Find the angle between the line and the plane .

MATHEMATICS · Subjective · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

Find the angle between the line r=i^+2j^−k^+λ(i^−j^+k^)r = \hat{i} + 2\hat{j} - \hat{k} + \lambda(\hat{i} - \hat{j} + \hat{k}) and the plane r⋅(2i^−j^+k^)=4r \cdot (2\hat{i} - \hat{j} + \hat{k}) = 4 .

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