Mathematics
High School (11–12)
Vectors and Three-Dimensional Geometry › Introduction to Three-Dimensional GeometryChapter 22Introduction to Three-Dimensional Geometry
A fly sits in the corner of a room.
- How do you tell a friend exactly where it is?
- You need three numbers: how far along one wall, how far along the other, and how high above the floor.
- This chapter gives every point in space its three coordinates.
- Then it measures with them: the distance between two points, the point that divides a segment in a given ratio, the centre of a triangle or a tetrahedron, the sphere, and the cuboid.
- It covers the Class 11 unit of the Indian syllabus (NCERT, JEE Main) and the matching ideas of A-Level, IB and AP.
- Lines and planes come in the later chapter on three-dimensional geometry.
Show the rest (1)
- Python checks every answer on the computer.
Part of Mathematics · High School (11–12) (chapter 22)
Following adds this path to your dashboard and enrolls you in the 3 courses you can open, so you can start right away.
Courses in This Path (3)
1.Not started2.
Coordinates of a Point in Space
Where is the light in the corner of your room? Three perpendicular lines through one corner give every point three coordinates. Learn the three axes, the three coordinate planes and the eight octants. Then find the foot of a perpendicular and the image of a point in a plane or an axis. Last, measure the distance of a point from the origin, from an axis and from a plane. It covers the first part of the Indian syllabus unit (NCERT, JEE Main) and the matching ideas of A-Level and IB.
Distance and Section Formulae in Space
A cable runs from the top of one mast to the top of another. How long is it, and where does a clamp sit if it divides the cable in the ratio 2 to 3? Two formulae answer both questions for any two points in space. Use them for the midpoint, for dividing a segment inside and outside, and for the centroid of a triangle and of a tetrahedron. Then test collinear points, and tell a parallelogram, a rectangle, a rhombus or a right triangle from its corners. It covers the Indian syllabus (NCERT, JEE Main) and the matching ideas of A-Level and IB.