Introduction to Three Dimensional Geometry
What is the number of octants in three-dimensional Cartesian coordinate system?
What are the coordinates of any point on the x-axis in three-dimensional space?
What are the coordinates of the origin in three-dimensional space?
In which octant does the point (-2, 4, -7) lie?
What is the distance of the point P(3, 4, 5) from the origin?
What is the distance between the two points P(1, 2, 3) and Q(-1, -2, -3)?
What are the coordinates of the point which divides the line segment joining the points $(x_1, y_1, z_1)$ and $(x_2, y_2, z_2)$ in the ratio $m:n$ internally?
What is the midpoint of the line segment joining the points $(2, 3, 4)$ and $(4, 1, -2)?
What are the coordinates of the centroid of a triangle whose vertices are $(x_1, y_1, z_1)$, $(x_2, y_2, z_2)$, and $(x_3, y_3, z_3)?$
What is the equation of the xy-plane in three-dimensional space?
What is the equation of the yz-plane?
If a point lies on the y-axis, then what are its x and z coordinates?
What is the locus of a point for which $x = 0$ and $y = 0$ in three dimensions?
What is the distance of the point P(2, 3, 4) from the z-axis?
What is the distance of the point P(-3, 2, 5) from the y-axis?
What is the perpendicular distance of the point P(4, -3, 7) from the xy-plane?
What are the coordinates of the feet of the perpendicular drawn from the point P(3, 4, 5) to the yz-plane?
If the points A(3, 2, -4), B(9, 8, -10), and C(5, 4, -6) are collinear, what ratio does point C divide AB in?
Find the ratio in which the line segment joining the points (2, -4, 3) and (-4, 5, -6) is divided by the yz-plane.
What is the length of the median through vertex A of the triangle with vertices A(0, 0, 6), B(0, 4, 0), and C(6, 0, 0)?