Question

If the vector field is given by $\vec{F} = (2x - y + z)\hat{i} + (x + y - z^2)\hat{j} + (3x - 2y + 4z)\hat{k}$ then evaluate the line integral over a circular path given by $x^2 + y^2 = a^2$, $z = 0$

          If the vector field is given by
$\vec{F} = (2x - y + z)\hat{i} + (x + y - z^2)\hat{j} + (3x - 2y + 4z)\hat{k}$ then evaluate the line
integral over a circular path given by $x^2 + y^2 = a^2$, $z = 0$

If the vector field is given by
F⃗ = (2x - y + z)î + (x + y - z^2)ĵ + (3x - 2y + 4z)k̂ then evaluate the line
integral over a circular path given by x^2 + y^2 = a^2, z = 0

Added by Jose Manuel E.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Matthew Wagner

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We can rewrite this equation as y = a - x. Show more…

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67 If the vector field is given by F (2x - y + 2) i + (x+y -z)j+ (3x ~ 2y + 4z) k then evaluate the line integral over a circular path given by x +y = a" z = 0