Suppose you have four vectors of equal magnitude: $\mathrm{Vector} A$ points along the positive $x$-axis, $\mathrm{Vector} B$ points along the positive $y$-axis, $\mathrm{Vector} C$ points at $45°$ above the $x$-axis (in the first quadrant), and $\mathrm{Vector} D$ points at $45°$ below the $x$-axis (in the fourth quadrant). Which pair of vectors, when added, will result in the largest positive $y$ component?

Given two vectors in a plane, how many distinct combinations (regardless of magnitude or direction) can sum to produce an arbitrary third vector?

Which of the following operations will not change a $\mathrm{vector}$?

Given two vectors $A$ and $B$ with components $A=(3,4)$ and $B=(1,-2)$, what are the components of the vector $A+B$?

Given two vectors $A$ and $B$ with components $A=\left(3,4\right)$ and $B=\left(1,-,2\right)$, what is the single vector that represents $A+B$ when added by components?

If two velocity vectors are added using the component method, which of the following correctly describes how to find the magnitude of the resultant velocity vector $v_r$ given their components $v_{1x}$, $v_{1y}$, $v_{2x}$, and $v_{2y}$?