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I J K Table
Cyclic i->j->k->i. Opposite cycle gives a minus. These three lines are the exam memory: i x j = k, j x k = i, k x i = j.
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I J K Table
What is it?
Cyclic i->j->k->i. Opposite cycle gives a minus. These three lines are the exam memory: i x j = k, j x k = i, k x i = j.
In simple words
- Cyclic i->j->k->i.
- i x j = k
- j x i = -k
- State the rule, show the working, and check the answer.
Important terms
I J K TABLE: Cyclic i->j->k->i. Opposite cycle gives a minus. These three lines are the exam memory: i x j = k, j x k = i, k x i = j.
i j k TABLE: Cyclic i->j->k->i.
What you should learn
- State the rule or meaning of i j k table in easy words.
- Apply i j k table in a clear step-by-step solution.
- Check the conditions, working, and final answer for accuracy.
Examples
- i x j = k
- j x i = -k
- i x i = 0
MAIN IDEA
Cyclic i->j->k->i. Opposite cycle gives a minus. These three lines are the exam memory: i x j = k, j x k = i, k x i = j.
EXAM USE
Write the rule first: Cyclic i->j->k->i. Substitute carefully, show one step per line, and check signs, restrictions, units, and the final result.
Recommended for Class 11
Full school-level explanation
Cyclic i->j->k->i. Opposite cycle gives a minus. These three lines are the exam memory: i x j = k, j x k = i, k x i = j.
Understand the idea, then apply it:
WHAT — I J K TABLE
Cyclic i->j->k->i. Opposite cycle gives a minus. These three lines are the exam memory: i x j = k, j x k = i, k x i = j.
WHY — Why it matters
This rule is a separate learning unit inside cross (vector) product. It can be defined, applied, and checked in its own FBISE question.
HOW — How to answer
Write the rule first: Cyclic i->j->k->i. Substitute carefully, show one step per line, and check signs, restrictions, units, and the final result.
MAIN IDEA
Cyclic i->j->k->i. Opposite cycle gives a minus. These three lines are the exam memory: i x j = k, j x k = i, k x i = j.
Remember
- cyclic plus
Examples
- i x j = k
- j x i = -k
- i x i = 0
EXAM USE
Write the rule first: Cyclic i->j->k->i. Substitute carefully, show one step per line, and check signs, restrictions, units, and the final result.
Remember
- focused answer
- accurate support
Examples
- State the central idea
- Use one accurate detail
- Check the final response
How to answer a i j k table question
How it works
- 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.
Remember
- cyclic plus
- |a x b| = |a||b| sin theta
- direction: right hand
- a x b = - b x a
- cyclic plus
- focused answer
- accurate support
- cyclic plus
Deeper understanding
Go beyond memorising I J K Table. Connect the definition to reasons, relationships, exceptions, and exam wording.
Common mistakes
Exam focus
Core Idea
What to Know
Example or Evidence
How to Answer
Exam focus
Quick revision
- cyclic plus
- |a x b| = |a||b| sin theta
- direction: right hand
- a x b = - b x a
- I J K TABLE: Cyclic i->j->k->i. Opposite cycle gives a minus. These three lines are the exam memory: i x j = k, j
- i j k TABLE: Cyclic i->j->k->i.
Cross is not commutative. Swapping order changes sign.
For long answers on I J K Table: define clearly → explain the main parts → give one example → state one exam caution.
Exam Focus
Exam Focus
Important points
- cyclic plus
- |a x b| = |a||b| sin theta
- direction: right hand
- a x b = - b x a
Important formulas
- cyclic plus
- |a x b| = |a||b| sin theta
- direction: right hand
Common exam traps
- Cross is not commutative. Swapping order changes sign.
- Do not choose a formula before checking that its conditions fit the question.
Long question structure
Definition → key parts → example → exam caution
Common Mistakes
Common Mistakes
- Mistake
Cross is not commutative. Swapping order changes sign.
- Mistake
Do not choose a formula before checking that its conditions fit the question.
- Mistake
Do not hide sign changes, restrictions, or skipped algebra steps.
- Mistake
Cross is not commutative. Swapping order changes sign.
Revision Zone
60-Second Revision
Quick cues from this topic — use them for last-minute revision.
cyclic plus
|a x b| = |a||b| sin theta
direction: right hand
a x b = - b x a
Cyclic i->j->k->i. Opposite cycle gives a minus. These three lines are the exam memory: i x j = k, j x k = i, k x i = j.
|a x b| = |a||b| sin theta
- Definition
- Cyclic i->j->k->i. Opposite cycle gives a minus. These three lines are the exam memory: i x j = k, j x k = i, k x i = j.
- Formula
- |a x b| = |a||b| sin theta
- Example
- i x j = k
- Critical warning
- Cross is not commutative. Swapping order changes sign.
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Exam Practice
Define
Q1. Define I J K Table.
Explain
Q2. Explain: MAIN IDEA.
Example
Q3. Give one clear example of I J K Table and say why it fits.
Mistake
Q4. State one common mistake students make about I J K Table.
Exam note
Q5. Write a short exam note on I J K Table: definition, two points, one example.
Sources & References
School-standard facts for Matric and Intermediate. Original explanations — not copied from textbooks.