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

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

a. [2] Represent the equation of the plane containing the triangle 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.

Expert Solution

Colby Messinger answered 1 year ago

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