5. Vector Calculus

Vector Fields — Quiz

Test your understanding of vector fields with 5 practice questions.

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Practice Questions

Question 1

Which of the following is the correct definition of a vector field in two dimensions?

Question 2

Which of the following vector fields represents a radial field emanating from the origin?

Question 3

Consider the vector field $\mathbf{F}(x, y) = \langle -y, x \rangle$. What type of physical phenomenon does this vector field best represent?

Question 4

Which of the following is the correct formula for the divergence of the vector field $\mathbf{F}(x, y) = \langle P(x, y), Q(x, y) \rangle$ in two dimensions?

Question 5

What is the divergence of the vector field $\mathbf{F}(x, y) = \langle x^2, y^2 \rangle$?
Vector Fields Quiz — High School Calculus 3 | A-Warded