Suppose you start at the origin, move along the $x$-axis a distance of 5 units in the positive direction, and then move downward a distance of 3 units. What are the coordinates of your position?
A)$( 0,5,3 )$
B) $( 5,3,0 )$
C) $( 5 , - 3,0 )$
D) $( 5,0 , - 3 )$
E) $( 5,0,3 )$

Question

Suppose you start at the origin, move along the $x$-axis a distance of 5 units in the positive direction, and then move downward a distance of 3 units. What are the coordinates of your position? 
A)$( 0,5,3 )$
B) $( 5,3,0 )$
C) $( 5 , - 3,0 )$
D) $( 5,0 , - 3 )$
E) $( 5,0,3 )$

Quizplus · Accepted Answer

We moved 5 units in the positive $x$ direction, so our $x$-coordinate is 5. We then moved downward 3 units, so our $y$-coordinate decreases by 3, which gives us a $y$-coordinate of 0 - 3 = -3. Finally, we did not move in the $z$-direction, so our $z$-coordinate remains 0. Therefore, our coordinates are $(5, 0, -3)$, which corresponds to choice D.

Suppose You Start at the Origin, Move Along The xxx -Axis a Distance of 5 Units in the Positive Direction

Suppose You Start at the Origin, Move Along The $x$ -Axis a Distance of 5 Units in the Positive Direction