engineering recuitment AAI ATC Junior Executive 2025 Mock Test Series Mathematics Vector Algebra Types of Vectors
Which one of the following is the unit vector perpendicular to both \({\rm{\vec a}} = - {\rm{\hat i}} + {\rm{\hat j}} + {\rm{\hat k}}\) and \({\rm{\vec b}} = {\rm{\hat i}} - {\rm{\hat j}} + {\rm{\hat k\;}}?\)
1
\(\frac{{{\rm{\hat i}} + {\rm{\hat j}}}}{{\sqrt 2 }}\)
2
\({\rm{\hat k}}\)
3
\(\frac{{{\rm{\hat j}} + {\rm{\hat k}}}}{{\sqrt 2 }}\)
4
\(\frac{{{\rm{\hat i}} - {\rm{\hat j}}}}{{\sqrt 2 }}\)