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Formula Sheet

Introduction To Three Dimensional Geometry — Formula Sheet

MET · Mathematics

All important formulas from Introduction To Three Dimensional Geometry for MET Mathematics. Quick reference for revision and problem solving.

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A basic representation of the three-dimensional Cartesian coordinate system showing the X, Y, and Z axes intersecting at the origin.
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Formula Sheet — Introduction To Three Dimensional Geometry

Important formulas and equations from Introduction To Three Dimensional Geometry for MET Mathematics.

Formulas — Introduction To Three Dimensional Geometry

Coordinate System Basics

Point P = (x, y, z)

Distance Formula

PQ = √[(x₂-x₁)² + (y₂-y₁)² + (z₂-z₁)²]
OP = √(x² + y² + z²)

Section Formula

Internal Division: M = ((mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n), (mz₂+nz₁)/(m+n))
External Division: M = ((mx₂-nx₁)/(m-n), (my₂-ny₁)/(m-n), (mz₂-nz₁)/(m-n))
Midpoint: M = ((x₁+x₂)/2, (y₁+y₂)/2, (z₁+z₂)/2)

Centroid Formula

Centroid G = ((x₁+x₂+x₃)/3, (y₁+y₂+y₃)/3, (z₁+z₂+z₃)/3)

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Frequently Asked Questions

What topics are covered in Introduction To Three Dimensional Geometry for MET?
Introduction To Three Dimensional Geometry is an important chapter in MET Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Coordinate System in 3D Space, Distance Formula in 3D Space, Section Formula in 3D, Centroid of Triangle.
How important is Introduction To Three Dimensional Geometry for MET?
Introduction To Three Dimensional Geometry is a frequently tested chapter in MET Mathematics. Questions from this chapter appear regularly in previous year papers. There are 100 practice questions available for this chapter.
How to prepare Introduction To Three Dimensional Geometry for MET?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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