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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).
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Ab from Positions
What is it?
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).
In simple words
- P(x1,y1) to Q(x2,y2): PQ = (x2-x1)i + (y2-y1)j.
- head minus tail
- AB = b - a
- OP from origin
Important terms
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).
What you should learn
- 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.
Examples
- head minus tail
- AB = b - a
- OP from origin
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).
EXAM APPLICATION
State the correct term, connect it to the chapter rule or evidence, and use a clear example or calculation.
Recommended for Class 10
Full school-level explanation
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).
Learn the idea, then use it:
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.
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).
Remember
- head minus tail
- AB = b - a
- OP from origin
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.
Remember
- correct term
- chapter link
- clear application
Examples
- Define first
- Show the rule or evidence
- Check units, labels, and conclusion
Remember
- head minus tail
- AB = b - a
- OP from origin
- keep the ideas separate
- head minus tail
- AB = b - a
- OP from origin
- correct term
Deeper understanding
Go beyond memorising Ab from Positions. Connect the definition to reasons, relationships, exceptions, and exam wording.
Common mistakes
Exam focus
Core Idea
Key Points
Simple Check
How to Answer
Exam focus
Quick revision
- head minus tail
- AB = b - a
- OP from origin
- keep the ideas separate
- 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(-
- 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(-
Do not merge ab from positions with a neighbouring idea that uses a different definition, rule, or method.
For long answers on Ab from Positions: define clearly → explain the main parts → give one example → state one exam caution.
Exam Focus
Exam Focus
Important points
- head minus tail
- AB = b - a
- OP from origin
- keep the ideas separate
Important formulas
- head minus tail
- AB = b - a
- OP from origin
Common exam traps
- Do not merge ab from positions with a neighbouring idea that uses a different definition, rule, or method.
- Do not invent a formula, fact, unit, or diagram label that the chapter does not support.
Long question structure
Definition → key parts → example → exam caution
Common Mistakes
Common Mistakes
- Mistake
Do not merge ab from positions with a neighbouring idea that uses a different definition, rule, or method.
- Mistake
Do not invent a formula, fact, unit, or diagram label that the chapter does not support.
- Mistake
Do not merge ab from positions with a neighbouring idea that uses a different definition, rule, or method.
Revision Zone
60-Second Revision
Quick cues from this topic — use them for last-minute revision.
head minus tail
AB = b - a
OP from origin
keep the ideas separate
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).
AB = b - a
- 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
- AB = b - a
- Example
- head minus tail
- Critical warning
- Do not merge ab from positions with a neighbouring idea that uses a different definition, rule, or method.
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Exam Practice
Define
Q1. Define Ab from Positions.
Explain
Q2. Explain: CORE UNDERSTANDING.
Example
Q3. Give one clear example of Ab from Positions and say why it fits.
Mistake
Q4. State one common mistake students make about Ab from Positions.
Exam note
Q5. Write a short exam note on Ab from Positions: definition, two points, one example.
Sources & References
School-standard facts for Matric and Intermediate. Original explanations — not copied from textbooks.