Question
Give an example of a vector field $\vec{F}(x, y)$ in 2 -space with the stated properties.$\vec{F}$ is perpendicular to $\vec{G}=(x+y) \vec{i}+\left(1+y^{2}\right) \vec{j}$ at every point
Step 1
We need to find a vector field $\vec{F}$ that is perpendicular to $\vec{G}$ at every point. This means that the dot product of $\vec{F}$ and $\vec{G}$ should be zero at every point. Show more…
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