Question
Evaluate the integral of the given vector field $\mathbf{F}$ along the given path.$$\mathbf{c}(t)=(\cos t, \sin t, 0), 0 \leq t \leq \pi / 2, \mathbf{F}(x, y, z)=x \mathbf{i}-y \mathbf{j}+z \mathbf{k}$$
Step 1
This gives us the tangent vector to the path at each point. We have $$ \mathbf{c}'(t) = (-\sin t, \cos t, 0). $$ Show more…
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