Chapter 9, Problem 8P

To determine

To sketch: The vector field $F\left(x,y,z\right)=j-k$.

Explanation of Solution

The vector field is a function of a space which gives a vector quantity at each point. It is a collection of arrows with a given magnitude and direction.

The general form of vector field in a space is given below.

$F\left(x,y,z\right)=xi+yj+zk$ (1)

Compare the vector field $F\left(x,y,z\right)=j-k$ with equation (1).

$x=0$

$y=1$

$z=-1$

The graph of vector field $F\left(x,y,z\right)=j-k$ is shown below in Figure 1.

From Figure 1, it is noticed that all the vectors are in same direction and having same magnitude.

Thus, the Figure 1 shows the graph of the vector field $F\left(x,y,z\right)=j-k$.