Let F⃗(x,y,z)=7x^2i⃗−sin(xy)(i⃗+j⃗).

Question

Calculate the divergence: div F→(x,y,z)=

Answer 1

Hmmm. No k component?
Oh, well. Combining the terms,
F(x,y,z) = (7x^2 - sin(xy))i - sin(xy)j + 0k
So,
div F = ∇•F
= (14x-ysin(xy))i - xsin(xy)j + 0k