Chapter 14 - Vector Calculus - 14.1 Vector Fields - 14.1 Exercises - Page 1058: 6

The graph of given vector is given by,

The given vector is $F=(1,y)$ $F=(1)\hat i+(y)\hat j$ $F= i+y j$ now, $(x,y)=(0,0) ; F(x,y)=(1,0)$ $(x,y)=(0,1) ; F(x,y)=(1,1)$ $(x,y)=(1,0) ; F(x,y)=(1,0)$ $(x,y)=(1,-1) ; F(x,y)=(1,0)$ $(x,y)=(0,-1) ; F(x,y)=(1,-1)$ $(x,y)=(2,0) ; F(x,y)=(1,0)$ $(x,y)=(0,2) ; F(x,y)=(1,2)$ $(x,y)=(1,1) ; F(x,y)=(1,1)$ $(x,y)=(1,-1) ; F(x,y)=(1,-1)$ Now the graph is given below,