MathematicsChapter 3: Vectors
Vector Addition
<1,2,3>+<4,-1,0>=<5,1,3>.
Learning objectives
- State the rule or meaning of vector addition in easy words.
- Apply vector addition in a clear step-by-step solution.
- Check the conditions, working, and final answer for accuracy.
Definition
<1,2,3>+<4,-1,0>=<5,1,3>. Parallelogram: diagonal is the sum. Subtract: a-b = a+(-b).
Formula
b = a+(-b).
Where / symbols
- VECTOR ADDITION
- <1,2,3>+<4,-1,0>=<5,1,3>. Parallelogram: diagonal is the sum. Subtract: a-b = a+(-b).
- ADD
- <1,2,3>+<4,-1,0>=<5,1,3>.
Overview
Understand the idea, then apply it:
Main Idea
<1,2,3>+<4,-1,0>=<5,1,3>. Parallelogram: diagonal is the sum. Subtract: a-b = a+(-b).
Examples Triangle law · Parallelogram diagonal · -b opposite
Exam Use
Write the rule first: <1,2,3>+<4,-1,0>=<5,1,3>. Substitute carefully, show one step per line, and check signs, restrictions, units, and the final result.
Examples State the central idea · Use one accurate detail · Check the final response
WHAT — VECTOR ADDITION
<1,2,3>+<4,-1,0>=<5,1,3>. Parallelogram: diagonal is the sum. Subtract: a-b = a+(-b).
WHY — Why it matters
This rule is a separate learning unit inside addition and geometry. It can be defined, applied, and checked in its own FBISE question.
HOW — How to answer
Write the rule first: <1,2,3>+<4,-1,0>=<5,1,3>. Substitute carefully, show one step per line, and check signs, restrictions, units, and the final result.
How to answer a vector addition question
- Read the exact command word and identify what the question asks.
- State the matching idea, rule, or meaning before adding detail.
- Use the unit evidence or mathematical working that directly supports the answer.
- Check accuracy, relevance, and answer length before finishing.
In simple words
AB is not a+b. It is 'to B, minus to A'.
Key points
- components
- add matching components
- midpoint a+b2
- focused answer
Exam preparation
Exam Focus
Quick revision
Revision Zone
Review the key facts, formulas and checks before you move on.Vector Addition
Sticky Notes · Quick Revision
Core Idea
- <1,2,3>+<4,-1,0>=<5,1,3>.
What to Know
- <1,2,3>+<4,-1,0>=<5,1,3>. Parallelogram: diagonal is the sum. Subtract: a-b = a+(-b).
Example or Evidence
- Triangle law
- Parallelogram diagonal
- -b opposite
How to Answer
- Write the rule first: <1,2,3>+<4,-1,0>=<5,1,3>. Substitute carefully, show one step per line, and check signs, restrictions, units, and the final result.
Common Error
- AB is not a+b. It is 'to B, minus to A'.
FBISE Exam Check
- State the rule, show the working, and check the answer.
60-second revision
- <1,2,3>+<4,-1,0>=<5,1,3>.
- Triangle law
- Parallelogram diagonal
- State the rule, show the working, and check the answer.
Did you understand this topic?
Your answer is saved with your learning record. It does not mark the topic as mastered.