Find the coordinates of the point located five units in front of the $y z$-plane, seven units to the right of the $x z$-plane, and nine units below the $x y$-plane.
A) $( 5 , - 9,7 )$
B) $( 5,7 , - 9 )$
C) $( 5 , - 7 , - 9 )$
D) $( 5 , - 9 , - 7 )$
E) $( 5,12,3 )$

Question

Quizplus · Accepted Answer

The point is described relative to the three planes: $x y$-plane, $y z$-plane, and $x z$-plane. Being five units in front of the $y z$-plane means it has an $x$-coordinate of 5. Being seven units to the right of the $x z$-plane means it has a $y$-coordinate of 7. Being nine units below the $x y$-plane means it has a $z$-coordinate of -9. Therefore, the coordinates are $(5, 7, -9)$.

Find the Coordinates of the Point Located Five Units in Front