engineering recuitment ISRO Scientific Assistant Physics 2020 Mathematics Three Dimensional Geometry
If an angle between the line, \(\frac{{{\rm{x}} + 1}}{2} = \frac{{{\rm{y}} - 2}}{1} = \frac{{{\rm{z}} - 3}}{{ - 2}}{\rm{\;}}\) and the plane, x – 2y – kz = 3 is \({\rm{co}}{{\rm{s}}^{ - 1}}\left( {\frac{{2\sqrt 2 }}{3}} \right),\) then a value of k is
1
\(\begin{array}{*{20}{c}} {{\rm{\;}}\sqrt {\frac{5}{3}} }&{\rm{\;}} \end{array}\)
2
\({\rm{\;}}\sqrt {\frac{3}{5}}\)
3
\(- \frac{3}{5}\)
4
\(- \frac{5}{3}\)