Q. 4 - Calculus

Question

What are the inputs of a vector field in ${\mathrm{ℝ}}^3$?

Step-by-Step Solution

Answer

The inputs of a vector field in ${\mathrm{ℝ}}^3$ is points in ${\mathrm{ℝ}}^3$. 

Step 1.Given Information

What are the inputs of a vector field in ${\mathrm{ℝ}}^3$?

Step 2. The input of a vector field

We've looked at functions with two and three variables that have a point as their input (either a point in the plane or in space). We could also create functions with a point as the input (again, either in the plane or in space).

Hence, a vector field in ${\mathrm{ℝ}}^3$ has inputs that are points in ${\mathrm{ℝ}}^3$.