Teaching RPSC School Lecturer Mock Test Series 2024 Mathematics Three Dimensional Geometry Angle with Planes
Find the angle between the line \(\vec r = \left( {2\hat i - \hat j + \;3\hat k} \right) + \lambda \;\left( {3\hat i - \;\hat j + \;2\hat k} \right)\) and the plane \(\vec r \cdot \left( {\hat i + \;\hat j + \;\hat k} \right) = 3\) ?
1
\({\sin ^{ - 1}}\left( {\frac{3}{{\sqrt {42} }}} \right)\)
2
\({\sin ^{ - 1}}\left( {\frac{4}{{\sqrt {42} }}} \right)\)
3
\({\sin ^{ - 1}}\left( {\frac{5}{{\sqrt {42} }}} \right)\)
4
None of these
5
Question Not Attempted