engineering recuitment GATE ECE 2023-24 Test Series Engineering Mathematics Calculus Vector Calculus
Given \(\vec F = \left( {{x^2} - 2y} \right)\vec i - 4yz\vec J + 4x{z^2}\vec k,\;\) the value of the line integral \(\mathop \smallint \limits_C^\; \vec F.\overrightarrow {dl}\) along the straight line C from (0, 0, 0) to (1, 1, 1) is.
1
1/16
2
0
3
-5/12
4
-1