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Consider the integralHC F·dr where F = yi−xj + z3k where C is the triangle with...

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Advance Math

Consider the integralHC F·dr where F = yi−xj + z3k where C isthe triangle with vertices (0,0,3), (1,1,4), (2,0,0), orientedcounterclockwise if viewed from above.

a. [2] Represent the equation of the plane containing thetriangle in the form z = ax + by + c and find a, b and c.

b. [2] Compute curl F.

c. [4] Compute the original line integral using Stokes’theorem.

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