Exercise · ZW-VECTOR-FIELD-IN-PLANE-AND-SPACE-005 · ★☆☆ Basic
The field \(\mathbf F(x,y)=\langle -y,\,x\rangle\) equals \(\langle 0,1\rangle\) at one point. Which?
Choose one option.
Show answer
- C. \((1,0)\)
Explanation
We need \(-y=0\) and \(x=1\), that is \((1,0)\). At \((0,1)\) the field equals \(\langle -1,0\rangle\).
Review the concept: Vector field in the plane and space
A vector field \(\mathbf F\) assigns to each point of a region of the plane or of space a vector; its components \(P,Q,R\) are scalar functions of the coordinates.
\[\mathbf F(x,y,z)=\langle P(x,y,z),\,Q(x,y,z),\,R(x,y,z)\rangle\]
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