2. 1D Motion / Kinematics

Which of the following best completes the statement: a vector must always have both $\mathrm{size}$ and

Given a vector $n$ with magnitude $n$ making an angle $\theta$ with the x'-axis in a tilted coordinate system, what are the components $n{x}_{\text{'}}$ and $n{y}_{\text{'}}$ of $n$ in this system?

Force is a vector because it has both magnitude and which of the following properties?

Which of the following statements correctly describes the direction of the impulse vector $𝒥$ (impulse)?

Under what circumstances would a vector have components that are equal in magnitude?

Which of the following combinations correctly pairs a vector quantity with its corresponding unit?

If Sue walks home and her home is defined as the origin ($O$), what is her displacement ($d$) upon arriving home?

Which of the following is a pair of vector quantities?

If a vector lies in the first quadrant of a standard Cartesian coordinate system and motion is along a straight path, which of the following conditions will result in both components of the vector being positive?

A force of magnitude $10$ $N$ acts at an angle of $30°$ above the positive $x$-axis in the $xy$-plane. How can this force be expressed as a Cartesian vector?

A person walks $4$ km east and then $3$ km north. What is the magnitude of the resultant displacement from the starting point?

If $\overrightarrow{a}$ and $\overrightarrow{b}$ are vectors, what is the magnitude of $\overrightarrow{b}-3\overrightarrow{a}$ in terms of the magnitudes of $\overrightarrow{a}$ and $\overrightarrow{b}$, assuming they are in the same direction?

Why is $d$istance alone insufficient to determine an object's location relative to another object?