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Chapter 19 of 27
Formula Sheet

Vector AlgebraFormula Sheet

J&K CET · Mathematics

Free Vector Algebra formula sheet for J&K 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 J&K 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 J&K CET?
Vector Algebra is an important chapter in J&K 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 J&K CET?
Vector Algebra is a frequently tested chapter in J&K 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 J&K 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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Practice questions, revision notes, formula sheet and AI doubt-solver for J&K CET Mathematics.