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barxatty [35]
3 years ago
8

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

Mathematics
1 answer:
Ainat [17]3 years ago
6 0

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.

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Complete question:

Which equation accurately represents this statement? Check all that apply.

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