Determine the constant ‘c’ such that the vector \(\vec F = \left( {x + 5y} \right){\hat a_x} + \left( {y - 3x} \right){\hat a_y} + \left( {x + cz} \right){\hat a_z}\) will be solenoidal.
1
c = -1
2
c = -2
3
c = 2
4
c = 1
Determine the constant ‘c’ such that the vector \(\vec F = \left( {x + 5y} \right){\hat a_x} + \left( {y - 3x} \right){\hat a_y} + \left( {x + cz} \right){\hat a_z}\) will be solenoidal.