Describing Space
Describing Space: Overview
This Topic covers sub-topics such as Section Formula, Planes in 3D, 3D Cartesian Coordinate System, Points of Trisection of a Line Segment, Internal Division, Pythagorean Quadruple, Concept of Space Diagonal and, Coordinate Axes in 3D
Important Questions on Describing Space
The length of the space diagonal of a cuboid with the length as , breadth as and height as , is

Find the length of the space diagonal of a cuboid with the length as , breadth as and height as .

A cuboid with the length as , breadth as and height as . The length of the face diagonal of the cuboid in the plane of breadth and height is .


Which of the following is not an example for Pythagorean quadruple ?

Find the angle between the diagonal of a cube and the diagonal of one of its faces. Where length of each side of a cube is unit.

Find the angle between the diagonal of a cube and the diagonal of one of its faces.

Which of the following is an example for Pythagorean quadruple ?

Find the length of each diagonal of a rectangle of length units and width units?

Find the number of diagonals present in a cuboid?

Let and be two given points. Find the coordinates of the points of trisection of the line segment .

In the figure below if the point is , write the coordinates of the points and

Write down the coordinates of point for the following cuboid:

The theorem that we use in finding the length of space diagonal in rectangular prism is _____?


Find the position vector of a point which divides the line joining two points and whose position vectors are and respectively, in the ratio internally

Given a line segment joining the points and . Find the co-ordinates of the point of intersection.

Given a line segment joining the points and . Find the ratio in which is divided by the y -axis.

Given and . In what ratio is the line joining divides by the x-axis.

The line segment joining and is intercepted by its x-axis at the point . Write the ordinates of the point . Hence, find the ratio in which divides .
