Three Dimensional Geometry

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

If a point P has coordinates (3, -2, 5), what is the distance of P from the origin?

Which of the following points lies on the x-axis?

Find the midpoint of the line segment joining points A(2, 3, 4) and B(6, 7, 8).

The distance between points A(1, 2, 3) and B(4, 6, 8) is:

If a point lies on the yz-plane, which of the following must be true?

Find the length of the diagonal of a cuboid with dimensions 3 cm, 4 cm, and 12 cm.

The coordinates of a point are (a, b, c). If this point lies on the plane x + y + z = 6 and a = 2, b = 1, find c.

If the points A(1, 2, 3), B(4, 6, 8), and C(7, 10, k) are collinear, find the value of k.

Find the equation of the plane passing through the point (1, 2, 3) and perpendicular to the vector (2, -1, 4).