3. Vectors

Given that an object is placed $16.0\mathrm{cm}$ to the left of a lens and the lens forms an image $36.0\mathrm{cm}$ to the right of the lens, what is the focal length of the lens?

Which of the following is a vector quantity?

Which of the following statements is true about two vectors that have the same magnitude $\left|\mathbf{A}\right|$ and direction?

Given six vectors labeled $a$ through $f$ with various magnitudes and directions as shown in Figure 1, which of the following statements is always true about the sum of two vectors?

If $\stackrel{1}{v}$ and $\stackrel{2}{v}$ are perpendicular vectors, which of the following is true?

A light ray is incident on a surface at an angle of $\theta$ with respect to the normal. Which of the following correctly represents the direction of the incident vector relative to the surface normal?

In the context of vector analysis, if a Howe truss is subjected to a downward force of $500 N$ at its center joint, which vector best represents the direction and sense of the applied load?

A traffic light of mass $m$ is suspended by two chains of equal length that make an angle $\theta$ with the horizontal. If the system is in equilibrium, what is the angle $\theta$ of the chains with respect to the horizontal if the tension in each chain is $T$?

Given points $A$ and $B$ with position vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ respectively, which of the following expressions correctly represents the vector from $A$ to $B$ (i.e., the vector $\overrightarrow{\mathrm{AB}}$)?

Given the vector function $r\left(t\right)=\left[t^2,\frac{2}{3}{t}^3,t\right]$, find the unit tangent vector $t$, the unit normal vector $n$, and the unit binormal vector $b$ at the point $\left[1,-\frac{2}{3},-1\right]$.

Complete this statement: $\mathrm{divergence}$ is to moving away as $\mathrm{convergence}$ is to _______.

$Which\; of\; the\; following\; must\; be\; included\; with\mathrm{magnitude}to\; fully\; represent\; a\mathrm{vector}quantity?$

Which of the following is a vector quantity?

Which of the following best describes a vector in physics?

Three point charges are fixed in place at the vertices of an equilateral triangle. If each charge has magnitude $q$ and the side length of the triangle is $a$, what is the magnitude of the net electric force on one of the charges due to the other two?