engineering recuitment BARC Stipendiary Trainee Category II 2023 Mock Test Mathematics Three Dimensional Geometry
The angle between the line
\(\overline {\rm{r}} \,{\rm{ = }}\,\left( {{\rm{\hat i}}\,{\rm{ - }}\,{\rm{\hat j}}\,{\rm{ + }}\,{\rm{\hat k}}} \right)\,{\rm{ + }}\,{\rm{\lambda }}\left( {{\rm{2\hat i}}\,{\rm{ - }}\,{\rm{\hat j}}\,{\rm{ + }}\,{\rm{3\hat k}}} \right) \)
and the plane \(\overline {\rm{r}} \cdot \left( {{\rm{2\hat i}}\, + \,{\rm{\hat j}}\, - \,{\rm{\hat k}}} \right) \) = 4 is
1
π/2
2
π/3
3
π/6
4
0°