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Chapter 19 of 27
Formula Sheet

Vector AlgebraFormula Sheet

IPU CET · Mathematics

Free Vector Algebra formula sheet for IPU CET Mathematics 2026 — all important formulas, equations, and constants for quick reference.

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A comparison chart illustrating the key differences between scalar and vector quantities, providing examples for each.
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Formula Sheet — Vector Algebra

Important formulas and equations from Vector Algebra for IPU CET Mathematics.

Formulas — Vector Algebra

Basic Vector Concepts

|r⃗| = √(x² + y² + z²)
â = a⃗/|a⃗|
P₁P₂⃗ = (x₂-x₁)i⃗ + (y₂-y₁)j⃗ + (z₂-z₁)k⃗

Vector Operations

a⃗ + b⃗ = (a₁+b₁)i⃗ + (a₂+b₂)j⃗ + (a₃+b₃)k⃗
ka⃗ = ka₁i⃗ + ka₂j⃗ + ka₃k⃗

Section Formula

r⃗ = (mb⃗ + na⃗)/(m + n)
r⃗ = (mb⃗ - na⃗)/(m - n)
r⃗ = (a⃗ + b⃗)/2

Scalar (Dot) Product

a⃗ · b⃗ = |a⃗||b⃗|cos θ
a⃗ · b⃗ = a₁b₁ + a₂b₂ + a₃b₃
cos θ = (a⃗ · b⃗)/(|a⃗||b⃗|)
Projection of a⃗ on b⃗ = (a⃗ · b⃗)/|b⃗|

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Frequently Asked Questions

What topics are covered in Vector Algebra for IPU CET?
Vector Algebra is an important chapter in IPU CET Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Basic Vector Concepts and Operations, Scalar (Dot) Product of Vectors, Vector (Cross) Product of Vectors, Scalar Triple Product and Vector Triple Product.
How important is Vector Algebra for IPU CET?
Vector Algebra is a frequently tested chapter in IPU CET Mathematics. Questions from this chapter appear regularly in previous year papers. There are 485 practice questions available for this chapter.
How to prepare Vector Algebra for IPU CET?
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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Get the full Vector Algebra chapter — for free.

Practice questions, revision notes, formula sheet and AI doubt-solver for IPU CET Mathematics.