Answer:
∇ × F = [xsin(xy)+xsin(xz)]i - ysin(xy)j - zsin(xz)k
Step-by-step explanation:
Given the vector field,
f(x, y, z) = cos(xz)j − cos(xy)k
Curl is represented as ∇×
Curl of the field F given will be expressed as ∇ × F
The symbol ∇ known as nabla is a 3-dimensional vector expressed as
∇ = (δ/δx)i + (δ/δy)j + (δ/δz)k
∇ × F = {(δ/δx)i + (δ/δy)j + (δ/δz)k}× 0i + cos(xz)j − cos(xy)k
Curl of the function can be gotten by finding the cross product as shown in the attachment.
