Introduction to Three Dimensional Geometry

What is the coordinate of the origin in the three-dimensional Cartesian coordinate system?

In 3D geometry, which of the following represents the distance between points A(1,2,3) and B(4,6,8)?

Which plane is represented by the equation x = 5 in 3D geometry?

If a point P lies on the x-axis in 3D space, which of the following must be true?

Find the midpoint of the line segment joining points A(2, -1, 3) and B(4, 3, 7).

The vector joining points A(1,2,3) and B(4,0,-1) is:

If the coordinates of a point are (x, y, z) and it lies on the plane 2x - 3y + 4z = 12, which of the following points lies on the same plane?

What is the angle between the vectors a = 3i - j + 2k and b = i + 4j - 2k?

Find the equation of the sphere with center at C(1, -2, 3) and passing through point P(4, 2, 0).

If the points A(1,2,3), B(4,5,6), and C(7,8,9) are collinear, then the vector AB is: