As shown on the coordinate system, points A and $B$ have the following distances from the origin: $x_A=3\mathrm{.}00ft,z_A=2\mathrm{.}30ft{x}_B=2\mathrm{.}90ft,y_B=1\mathrm{.}30ft,$ and $z_B=1\mathrm{.}70ft.($Figure $1)$ Which of the following statements correctly describes the location and position vector of point A from the origin? Use appropriate notation for the location and position vector of a point.

Check all that apply.

View Available Hint$($s$)$

The position vector of $A$ is given as $\{3\mathrm{.}00i+0\mathrm{.}00j+2\mathrm{.}30k\}ft.$

The location of $A$ is given as $A\{3\mathrm{.}00i+0\mathrm{.}00j+2\mathrm{.}30k\}ft.$

The location of $A$ is given as $A(3\mathrm{.}00i,2\mathrm{.}30k)ft.$

The position vector of $A$ is given as $(3\mathrm{.}00,0\mathrm{.}00,2\mathrm{.}30)ft.$

The position vector of $A$ is given as $\{3\mathrm{.}00,0\mathrm{.}00,2\mathrm{.}30\}ft.$

The location of $A$ is given as $A(3\mathrm{.}00,0\mathrm{.}00,2\mathrm{.}30)ft.$

The location of $A$ is given as $A\{3\mathrm{.}00,0\mathrm{.}00,2\mathrm{.}30\}ft.$

The position vector of $A$ is given as $\{3\mathrm{.}00i+2\mathrm{.}30k\}ft.$

The position vector of $A$ is given as $(3\mathrm{.}00i,2\mathrm{.}30k)ft$

The location of $A$ is given as $A\{3\mathrm{.}00i+2\mathrm{.}30k\}ft.$