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Resolution
Adjacent to theta is |F| cos theta (x). Opposite is |F| sin theta (y) when theta is from +x. This is right-triangle trig, not a new vector law.
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Resolution
What is it?
Adjacent to theta is |F| cos theta (x). Opposite is |F| sin theta (y) when theta is from +x. This is right-triangle trig, not a new vector law.
In simple words
- Adjacent to theta is |F| cos theta (x).
- cos x, sin y
- i = [1,0]
- Fx = |F| cos theta
Important terms
Resolution: Adjacent to theta is |F| cos theta (x). Opposite is |F| sin theta (y) when theta is from +x. This is right-triangle trig, not a new vector law.
What you should learn
- Define and explain resolution.
- Apply resolution to a focused FBISE question.
- Check the answer for correct terms, evidence, working, and units.
Examples
- cos x, sin y
- i = [1,0]
- Fx = |F| cos theta
CORE UNDERSTANDING
Adjacent to theta is |F| cos theta (x). Opposite is |F| sin theta (y) when theta is from +x. This is right-triangle trig, not a new vector law.
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
Adjacent to theta is |F| cos theta (x). Opposite is |F| sin theta (y) when theta is from +x. This is right-triangle trig, not a new vector law.
Learn the idea, then use it:
WHAT — RESOLUTION
Adjacent to theta is |F| cos theta (x). Opposite is |F| sin theta (y) when theta is from +x. This is right-triangle trig, not a new vector law.
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
Adjacent to theta is |F| cos theta (x). Opposite is |F| sin theta (y) when theta is from +x. This is right-triangle trig, not a new vector law.
Remember
- cos x, sin y
- i = [1,0]
- Fx = |F| cos theta
Examples
- cos x, sin y
- i = [1,0]
- Fx = |F| cos theta
- RESOLUTION: Adjacent to theta is |F| cos theta (x). Opposite is |F| sin theta (y) when theta is from +x. This is right-triangle trig
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
- cos x, sin y
- i = [1,0]
- Fx = |F| cos theta
- keep the ideas separate
- cos x, sin y
- i = [1,0]
- Fx = |F| cos theta
- correct term
Deeper understanding
Go beyond memorising Resolution. 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
- cos x, sin y
- i = [1,0]
- Fx = |F| cos theta
- keep the ideas separate
- Resolution: Adjacent to theta is |F| cos theta (x). Opposite is |F| sin theta (y) when theta is from +x. This is
- WHAT — RESOLUTION: Adjacent to theta is |F| cos theta (x). Opposite is |F| sin theta (y) when theta is from +x. This is
Do not merge resolution with a neighbouring idea that uses a different definition, rule, or method.
For long answers on Resolution: define clearly → explain the main parts → give one example → state one exam caution.
Exam Focus
Exam Focus
Important points
- cos x, sin y
- i = [1,0]
- Fx = |F| cos theta
- keep the ideas separate
Important formulas
- cos x, sin y
- i = [1,0]
- Fx = |F| cos theta
Common exam traps
- Do not merge resolution 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 resolution 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 resolution 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.
cos x, sin y
i = [1,0]
Fx = |F| cos theta
keep the ideas separate
Adjacent to theta is |F| cos theta (x). Opposite is |F| sin theta (y) when theta is from +x. This is right-triangle trig, not a new vector law.
i = [1,0]
- Definition
- Adjacent to theta is |F| cos theta (x). Opposite is |F| sin theta (y) when theta is from +x. This is right-triangle trig, not a new vector law.
- Formula
- i = [1,0]
- Example
- cos x, sin y
- Critical warning
- Do not merge resolution with a neighbouring idea that uses a different definition, rule, or method.
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Exam Practice
Define
Q1. Define Resolution.
Explain
Q2. Explain: CORE UNDERSTANDING.
Example
Q3. Give one clear example of Resolution and say why it fits.
Mistake
Q4. State one common mistake students make about Resolution.
Exam note
Q5. Write a short exam note on Resolution: definition, two points, one example.
Sources & References
School-standard facts for Matric and Intermediate. Original explanations — not copied from textbooks.