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  4. If θ denotes the acute angle between the line vecr = (( hati + 2 hatj - hatk ) + λ( hati - hatj + hatk) and the plane vecr ⋅(2 hati - hatj + hatk ) = 4, then sin θ + √2 cos θ =

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Q. If $\theta$ denotes the acute angle between the line $\vec{r} = ((\hat{i} + 2 \hat{j} - \hat{k} ) + \lambda(\hat{i} - \hat{j} + \hat{k})$ and the plane $\vec{r} \cdot(2 \hat{i} - \hat{j} + \hat{k} ) = 4,$ then $\sin \theta + \sqrt{2} \cos \theta = $

Introduction to Three Dimensional Geometry

Solution:

Correct answer is (c) $\sqrt{2}$