Exercise · ZW-VECTOR-FIELD-IN-PLANE-AND-SPACE-002 · ★☆☆ Basic
How many component functions does a vector field in the plane have?
Choose one option.
Show answer
- A. 2
Explanation
A vector in the plane has two coordinates, so \(\mathbf F=\langle P,Q\rangle\) has two component functions of \((x,y)\).
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.
\[\mathbf F(x,y,z)=\langle P(x,y,z),\,Q(x,y,z),\,R(x,y,z)\rangle\]
More practice problems: vector field in the plane and space
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