For F(r) = yz² ⸠+xz²â¸ +2xyzâ¸, find the value of SF.de where P, =(0,0,0), P₂ = (1,1,1) along a) A straight path from P₁ to P₂ b) The path y=x² and z = √x from P₁ to P2 c) Repeat a) and b) by noticing that the vector field F(r) can be expressed as the gradient of some scalar field f(r).

Fig: 1