MathematicsChapter 7: Vectors in Plane
Ab From Positions
P(x1,y1) to Q(x2,y2): PQ = (x2-x1)i + (y2-y1)j.
Learning objectives
- Define and explain ab from positions.
- Apply ab from positions to a focused FBISE question.
- Check the answer for correct terms, evidence, working, and units.
Definition
P(x1,y1) to Q(x2,y2): PQ = (x2-x1)i + (y2-y1)j. Translation adds the same vector to every point: A(-3,2) + [2,-1] = (-1,1).
Formula
PQ = (x2-x1)i + (y2-y1)j. Translation adds th
Where / symbols
- Ab From Positions
- P(x1,y1) to Q(x2,y2): PQ = (x2-x1)i + (y2-y1)j. Translation adds the same vector to every point: A(-3,2) + [2,-1] = (-1,1).
Relationship
- AB = b - a
Overview
Learn the idea, then use it:
Core Understanding
P(x1,y1) to Q(x2,y2): PQ = (x2-x1)i + (y2-y1)j. Translation adds the same vector to every point: A(-3,2) + [2,-1] = (-1,1).
Examples head minus tail · AB = b - a · OP from origin · AB FROM POSITIONS: P(x1,y1) to Q(x2,y2): PQ = (x2-x1)i + (y2-y1)j. Translation adds the same vector to every point: A(-3,2) + [2,-1] = (-1,
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 — AB FROM POSITIONS
P(x1,y1) to Q(x2,y2): PQ = (x2-x1)i + (y2-y1)j. Translation adds the same vector to every point: A(-3,2) + [2,-1] = (-1,1).
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 ab from positions with a neighbouring idea that uses a different definition, rule, or method.
Key points
- head minus tail
- 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.Ab From Positions
Sticky Notes · Quick Revision
Core Idea
- P(x1,y1) to Q(x2,y2): PQ = (x2-x1)i + (y2-y1)j.
Key Points
- head minus tail
- AB = b - a
- OP from origin
Simple Check
- Explain ab from positions 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 ab from positions 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
- P(x1,y1) to Q(x2,y2): PQ = (x2-x1)i + (y2-y1)j.
- head minus tail
- AB = b - a
- OP from origin
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