defence exam Army Havildar SAC Mock Test Series 2025 Mathematics Vector Algebra Scalar and Vector Product
Find a vector perpendicular to each of the vector \(\rm \vec{a}+ \vec{b}\) and \(\rm \vec{a}- \vec{b}\), where \(\rm \vec{a}= 3\hat i + \hat j +2\hat k \ and \ \rm \vec{b}= \hat i +3\hat j + \hat k \) ?
1
\(10\hat i - 2\hat j - 16\hat k\)
2
\(10\hat i + 2\hat j + 16\hat k\)
3
\(10\hat i + 2\hat j - 6\hat k\)
4
\(10\hat i + 2\hat j - 16\hat k\)