Let $\vec { F } = \sqrt { x ^ { 2 } + y ^ { 2 } } \vec { i } + \sqrt { x ^ { 2 } + y ^ { 2 } } \vec { j }$ Is the line integral of $\vec{F}$ around the unit circle traversed counterclockwise: positive, negative, or zero?
A)Positive
B)Negative
C)Zero

Question

Quizplus · Accepted Answer

The line integral of a conservative vector field around a closed curve is zero.

Let F⃗=x2+y2i⃗+x2+y2j⃗\vec { F } = \sqrt { x ^ { 2 } + y ^ { 2 } } \vec { i } + \sqrt { x ^ { 2 } + y ^ { 2 } } \vec { j }F=x2+y2​i+x2+y2​j​

Let $\vec { F } = \sqrt { x ^ { 2 } + y ^ { 2 } } \vec { i } + \sqrt { x ^ { 2 } + y ^ { 2 } } \vec { j }$