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AG
AG asked in Science & MathematicsMathematics · 8 years ago

Please help me with this LINE INTEGRAL?

Determine the line integral about C where C is defined as a circle of radius 2 in the plane x + y + z = 3 and centered at (1,1,1) and orientated clockwise when viewed from the origin.

Of F(x,y,z)= i + j + 3k

I'm not so sure how to start this problem, I know you have to parametrize c, but how would I go about doing that?? your help will make me so happy! And I'll give you best rating :)

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  • kb
    Lv 7
    8 years ago
    Favorite Answer

    ∫c F · dr

    = ∫c ∇(x+y+3z) · dr; so the vector field is conservative

    = 0, since C is closed.

    I hope this helps!

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