Find the coordinates of the point located three units in front of the $y z$-plane, eight units to the right of the $x z$-plane, and five units above the $x y$-plane.
A) $( 3,5,8 )$
B) $( 3,8,5 )$
C) $( 3 , - 8,5 )$
D) $( 3,5 , - 8 )$
E) $( 3,11,16 )$

Question

Quizplus · Accepted Answer

Starting at the origin, move three units in front of the $y z$-plane, which means in the direction of the negative x-axis. So, the x-coordinate will be  $-3$. Then, move eight units to the right of the $x z$-plane, which means in the direction of the positive y-axis. So, the y-coordinate will be $8$. Finally, move five units above the $x y$-plane, which means in the direction of the positive z-axis. So, the z-coordinate will be $5$. Therefore, the point is $( -3,8,5 )$, which is given by choice (B).

Find the Coordinates of the Point Located Three Units in Front