A vector field with vectors pointing along circles centered at the origin and in a clockwise direction. Vectors get longer as distance from the origin increases. Also shown is the circle of radius \(1.5\) centered at the origin. The circle is oriented clockwise.
A vector field with all vectors parallel to the \(y\)-axis. Vectors get longer as distance from the \(y\)-axis increases. Vectors with \(x>0\) point in the positive \(y\)-direction, while vectors with \(x\lt 0\) point in the negative \(y\)-direction. Also shown are two rectangles with sides parallel to the axes. One rectangle is oriented counterclockwise; its lower-left corner is at \((-2.25,-1.5)\) and its upper-right corner is at \((1,2.5)\text{.}\) The other rectangle is oriented clockwise; its lower-left corner is at \((-1.75,-3.2)\) and its upper-right corner is at \((1.5,-2.1)\text{.}\)
