Solution Found!
Two-dimensional vector fields Sketch the
Chapter 14, Problem 16E(choose chapter or problem)
Matching vector field with graphs Match vector fields a-d with graphs A-D.
a. \(\mathbf{F}=\left\langle 0, x^{2}\right\rangle\)
b. \(F=\langle x-y, x\rangle\)
c. \(\mathbf{F}=\langle 2 x,-y\rangle\)
d. \(\mathbf{F}=\langle y, x\rangle\)
Questions & Answers
QUESTION:
Matching vector field with graphs Match vector fields a-d with graphs A-D.
a. \(\mathbf{F}=\left\langle 0, x^{2}\right\rangle\)
b. \(F=\langle x-y, x\rangle\)
c. \(\mathbf{F}=\langle 2 x,-y\rangle\)
d. \(\mathbf{F}=\langle y, x\rangle\)
ANSWER:
Solution 16E
Step 1
Let f and g be defined on a region R of . A vector field in is a function F that assign to each point in R a vector. The vector filed is written as
A vector field is continuous or differentiable on a region R of if f and g are continuous or differentiable on R.
The vector represents sketches in following way.
1. Rotation
2. Shear vector
3. Channel