Find the coordinates of the point that is located 4 units behind the yz-plane, 6 units to the left of xz-plane, and 4 units above the xy-plane.
A)(-4,-6,-4)
B)(-4,6,4)
C)(4,-6,4)
D)(-4,6,-4)
E)(-4,-6,4)

Question

Quizplus · Accepted Answer

The point is described relative to the three planes: the yz-plane, the xz-plane, and the xy-plane. Being "4 units behind the yz-plane" means it is 4 units in the negative x-direction, hence x = -4. "6 units to the left of the xz-plane" means it is 6 units in the negative y-direction, hence y = -6. "4 units above the xy-plane" means it is 4 units in the positive z-direction, hence z = 4. Therefore, the coordinates are (-4, -6, 4).

Find the Coordinates of the Point That Is Located 4