Three small circles c1, c2, and c3, each with radius 0.1 and centered at the origin are in the xy-, yz-, and xz-planes, respectively. the circles are oriented counterclockwise when viewed from the positive z-, x-, and y-axes, respectively. a vector field f⃗ has circulation around c1 of 0.01π, around c2 of 0.4π, and around c3 of 5π. estimate curl( f. at the origin.

Curl is defined as:

Which can be rewritten as:

This is because C1 lies on the xy plane and thus it's unit vector will be .

By similar arguments the rest will follow too.

Now, area of each circle will be:

Therefore, Curl, as per our definition will be:

Thus, Curl=

Which is the required answer.

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step-by-step explanation:

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step-by-step explanation: