Show that the line \vec{x}=(2\hat{i}-2\hat{j}+3\hat{k})+\lambda(\h | Filo
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Class 12

Math

3D Geometry

Three Dimensional Geometry

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Show that the line is parallel to the plane .

Solution:
Given that the line is parallel to the plane .

Direction ratios of the line are .
Direction ratios of normal to the plane are .
.

So, the given line is perpendicular to the normal of the given plane.
Hence, the given line is parallel to the given plane.
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