engineering recuitment GATE IN Test Series 2023-24 Mock Test Engineering Mathematics Calculus Vector Calculus
The value of \(\mathop \smallint \limits_{\rm{c}} {\rm{\bar F\;}}.{\rm{\;}}\overline {{\rm{dr}}} {\rm{\;}}\)for \({\rm{\bar F}} = 3{{\rm{x}}^2}{\rm{i}} + \left( {2{\rm{xz}} - {\rm{y}}} \right){\rm{\;\;\bar j}} + {\rm{z\bar k}}\) passing through the straight line joining (0, 0, 0) and (2, 1, 3) is
1
24
2
16
3
12
4
32