Chapter 19 of 27
Formula Sheet
Vector Algebra — Formula Sheet
NATA · Mathematics
Free Vector Algebra formula sheet for NATA Mathematics 2026 — all important formulas, equations, and constants for quick reference.
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Important formulas and equations from Vector Algebra for NATA Mathematics.
Formulas — Vector Algebra
Basic Vector Concepts
|r⃗| = √(x² + y² + z²)â = a⃗/|a⃗|P₁P₂⃗ = (x₂-x₁)i⃗ + (y₂-y₁)j⃗ + (z₂-z₁)k⃗Vector Operations
a⃗ + b⃗ = (a₁+b₁)i⃗ + (a₂+b₂)j⃗ + (a₃+b₃)k⃗ka⃗ = ka₁i⃗ + ka₂j⃗ + ka₃k⃗Section Formula
r⃗ = (mb⃗ + na⃗)/(m + n)r⃗ = (mb⃗ - na⃗)/(m - n)r⃗ = (a⃗ + b⃗)/2Scalar (Dot) Product
a⃗ · b⃗ = |a⃗||b⃗|cos θa⃗ · b⃗ = a₁b₁ + a₂b₂ + a₃b₃cos θ = (a⃗ · b⃗)/(|a⃗||b⃗|)Projection of a⃗ on b⃗ = (a⃗ · b⃗)/|b⃗|Get the complete formula sheet with derivations — continue in Super Tutor
Frequently Asked Questions
What topics are covered in Vector Algebra for NATA?
Vector Algebra is an important chapter in NATA 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 NATA?
Vector Algebra is a frequently tested chapter in NATA 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 NATA?
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 NATA Mathematics.