Consider the given vector field. f(x, y, z) = cos(xz)j − cos(xy)k (a) find the curl of the vector field

∇ × 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.

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.