MathematicsChapter 7: Vectors in Plane
Position
OP = [x, y] if P is (x, y).
Learning objectives
- Define and explain position.
- Apply position to a focused FBISE question.
- Check the answer for correct terms, evidence, working, and units.
Definition
OP = [x, y] if P is (x, y). It locates P. Two different points have different position vectors.
Formula
OP =
Where / symbols
- Position
- OP = [x, y] if P is (x, y). It locates P. Two different points have different position vectors.
Relationship
- AB = b - a
Overview
Learn the idea, then use it:
Core Understanding
OP = [x, y] if P is (x, y). It locates P. Two different points have different position vectors.
Examples tail at O · AB = b - a · OP from origin · POSITION: OP = [x, y] if P is (x, y). It locates P. Two different points have different position vectors.
Exam Application
State the correct term, connect it to the chapter rule or evidence, and use a clear example or calculation.
Examples Define first · Show the rule or evidence · Check units, labels, and conclusion
WHAT — POSITION
OP = [x, y] if P is (x, y). It locates P. Two different points have different position vectors.
HOW — Use the idea
Identify what is given, select this topic's rule or evidence, apply it one step at a time, and check the result.
In simple words
Do not merge position with a neighbouring idea that uses a different definition, rule, or method.
Key points
- tail at O
- AB = b - a
- OP from origin
Exam preparation
Exam Focus
Quick revision
Revision Zone
Review the key facts, formulas and checks before you move on.Position
Sticky Notes · Quick Revision
Core Idea
- OP = [x, y] if P is (x, y).
Key Points
- tail at O
- AB = b - a
- OP from origin
Simple Check
- Explain position in your own words and connect it to one chapter example.
How to Answer
- Define the idea, show the main rule or evidence, apply it, and check the final statement.
Common Mistake
- Do not merge position with a neighbouring idea that uses a different definition, rule, or method.
FBISE Exam Tip
- Use the exact term, show working where needed, and include units or labelled evidence.
60-second revision
- OP = [x, y] if P is (x, y).
- tail at O
- AB = b - a
- OP from origin
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