engineering recuitment NIELIT Scientific Assistant Mock Test 2025 Engineering Mathematics Calculus Vector Calculus
The vector function expressed by
\(F = {a_x}\;\left( {5y - {k_1}z} \right) + {a_y}\left( {3z + {k_2}x} \right) + {a_z}\left( {{k_3}y - 4x} \right)\)
Represents a conservative field, where ax, ay, az are unit vectors along x, y and z directions, respectively. The values of constant k1, k2, k3 are given by:1
k1 = 3, k2 = 3, k3 = 7
2
k1 = 3, k2 = 8, k3 = 5
3
k1 = 4, k2 = 5, k3 = 3
4
k1 = 0, k2 = 0, k3 = 0