Skip to main content
Chapter 29 of 31
Formula Sheet

Vectors

Telangana Open School (TOSS) · Class 12 · Mathematics

All formulas from Vectors in Telangana Open School (TOSS) Class 12 Mathematics. Key equations, constants, and identities for board exam preparation.

50 questions25 flashcards5 concepts

Interactive on Super Tutor

Studying Vectors? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for formula sheet and more.

1,000+ Class 12 students started this chapter today

10 Formulas · 3 Sections

Formulas

Vector Operations

a + b = c (Triangle Law)

a + b = b + a

(a + b) + c = a + (b + c)

k(a) = ka

Resolution of Vectors

r = xî + yĵ (2D)

r = xî + yĵ + zk̂ (3D)

|r| = √(x² + y²) or √(x² + y² + z²)

Section Formula

r = (n a + m b)/(m + n)

r = (n a − m b)/(n − m)

Midpoint = (a + b)/2

Full sheet with units and worked examples

View All

Frequently Asked Questions

What are the important topics in Vectors for Telangana Open School (TOSS) Class 12 Mathematics?
Vectors covers several key topics that are frequently asked in Telangana Open School (TOSS) Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Vectors — Telangana Open School (TOSS) Class 12 Mathematics?
Understand the core concepts first, then work through the 50 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

For serious students

Get the full Vectors chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for Telangana Open School (TOSS) Class 12 Mathematics.