A U.S. football field is $120$ yards long (including the end zones). How long is the field in:

(a) meters

(b) millimeters

(c) feet

(d) inches

A surveyor measures the three sides of a triangular field and gets $114,165$, and $257$ meters.
a. What is the measure of the largest angle of the triangle?
b. What is the area of the field?

An electron is accelerated eastward at $1.84 \times 10^{\circ} \mathrm{m} / \mathrm{s}^2$ by electric field. Determine the magnitude and direction of the electric field.

A uniform electric field is parallel to the $x$ axis. In what direction can a charge be displaced in this field without any external work being done on the charge?

Mark following true or false.

A polynomial f(x) of degree n with coefficients in a field F can have at most n zeros in any giv field E such that $F \leq E$.

Determine if the vector field is conservative. If it is, find a potential function for the vector field.

$$\mathbf{F}(x, y)=-\frac{y}{x^2} \mathbf{i}+\frac{1}{x} \mathbf{j}$$

The maximum strength of the magnetic field in an electromagnetic wave is $3.3 \times 10^{-6} \mathrm{~T}$. What is the maximum strength of the wave's electric field?

Determine whether the vector field is conservative. If it is, find a potential function for the vector field.

$$\mathbf{F}(x, y)=e^x(\cos y \mathbf{i}+\sin y \mathbf{j})$$

Can an ideal solenoid, one with no magnetic field outside the solenoid, exist? If not, does that invalidate the derivation of the magnetic field inside the solenoid (Section 28.4)?

Let V be a parallel vector field on a curve $\alpha$ in M. Show that a vector field W on $\alpha$ is parallel if and only if it has constant length and the angle between V and W is constant.

The magnetic field in an electromagnetic wave has a peak value given by $B=2.9~ \mu \mathrm{T}$. For this wave, find the peak electric field strength.

Determine whether the vector field is conservative. If it is, find a potential function for the vector field. $\mathbf{F}(x, y)=x e^{x^{2} y}(2 y \mathbf{i}+x \mathbf{j})$

Figure mentioned shows a horseshoe magnet. (a) In your notebook, draw the magnetic field lines, showing their direction. (b) In which area is the magnetic field strongest?

The magnetic field in an electromagnetic wave has a peak value given by $B=3.7 \mu \mathrm{T}$. For this wave, find the peak electric field strength.