The three axes OX, OY, OZ determine ____.
Three coordinates planes
The three planes determine a rectangular parallelepiped which has ______ of rectangular faces.
Three pairs
The coordinates of a point are the perpendicular distance from the ______ on the respective axes.
given point
The three coordinate planes divide the space into ______ parts.
Eight
If a point P lies in yz-plane, then the coordinates of a point on yz-plane is of the form ______.
(0, y, z)
The equation of yz-plane is ______.
x = 0
If the point P lies on z-axis, then coordinates of P are of the form ______.
(0, 0, z)
The equation of z-axis, are ______.
x = 0 , y = 0
A line is parallel to xy-plane if all the points on the line have equal ______.
z- coordinates
A line is parallel to x-axis if all the points on the line have equal ______.
(y, z coordinates)
x = a represent a plane parallel to ______.
yz-plane
The plane parallel to yz-plane is perpendicular to ______.
x-axis
The length of the longest piece of a string that can be stretched straight in a rectangular room whose dimensions are 10, 13 and 8 units are ______.
\(\sqrt{333}\)
If the distance between the points (a, 2, 1) and (1, –1, 1) is 5, then a ______.
a = 5 or -3
If the mid-points of the sides of a triangle AB; BC; CA are D (1, 2, –3), E (3, 0, 1) and F (–1, 1, –4), then the centroid of the triangle ABC is ______.
(1, 1, -2)