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Applications of Vector Algebra — Formula Sheet

Tamil Nadu Board · Class 12 · Mathematics

4 formulas from Applications of Vector Algebra (Tamil Nadu Board Class 12 Mathematics) on one page, grouped by topic.

45 questions24 flashcards4 formulas & key relations5 concepts

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4 Entries · 3 Sections

Formulas and Key Relations

Vector Triple Product

Expansion formula

a⃗ × (b⃗ × c⃗) = (a⃗ · c⃗)b⃗ − (a⃗ · b⃗)c⃗.

Memory trick

'BAC minus CAB rule' — a⃗ × (b⃗ × c⃗) = (a⃗·c⃗)b⃗ − (a⃗·b⃗)c⃗.

Equations of a Straight Line in 3D

Cartesian form

(x−x₁)/b₁ = (y−y₁)/b₂ = (z−z₁)/b₃.

Key relations

The key formula is

a × (b × c) = (a · c)b - (a · b)c.

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Frequently Asked Questions

What are the important topics in Applications of Vector Algebra for Tamil Nadu Board Class 12 Mathematics?
Key topics in Applications of Vector Algebra include Scalar Product (Dot Product) and Vector Product (Cross Product) — Quick Recap, Scalar Triple Product, Vector Triple Product, Equations of a Straight Line in 3D. Study these first, then practise questions on each for the Tamil Nadu Board Class 12 board exam.
How many formulas are in Applications of Vector Algebra?
This sheet lists 4 formulas from Applications of Vector Algebra, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
How should I revise Applications of Vector Algebra for the Tamil Nadu Board Class 12 board exam?
Learn the core ideas first, then work through the 45 practice questions on Applications of Vector Algebra. Revise 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.

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All Tamil Nadu Board Class 12 Mathematics Formula Sheet

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