Q. 6 - Calculus

Question

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

Step-by-Step Solution

Answer

The outputs of a vector field in ${\mathrm{ℝ}}^3$ is is a three-dimensional vector.

Step 1.Given Information

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

Step 2. The outputs of a vector field in ℝ 3

A vector field in space is a function $\overrightarrow{F}(x,y,z)$ whose domain is a subset of ${\mathrm{ℝ}}^3$and whose output is a three-dimensional vector.