MathematicsChapter 7: Vectors in Plane
Resolution
Adjacent to theta is |F| cos theta (x).
Learning objectives
- Define and explain resolution.
- Apply resolution to a focused FBISE question.
- Check the answer for correct terms, evidence, working, and units.
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.
Where / symbols
- 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.
Relationship
- i = [1,0]
- Fx = |F| cos theta
Overview
Learn the idea, then use it:
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.
Examples cos x, sin y · i = [1,0] · F_x = |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.
Examples Define first · Show the rule or evidence · Check units, labels, and conclusion
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.
In simple words
Do not merge resolution with a neighbouring idea that uses a different definition, rule, or method.
Key points
- cos x, sin y
- i = [1,0]
- Fx = |F| cos theta
Exam preparation
Exam Focus
Quick revision
Revision Zone
Review the key facts, formulas and checks before you move on.Resolution
Sticky Notes · Quick Revision
Core Idea
- Adjacent to theta is |F| cos theta (x).
Key Points
- cos x, sin y
- i = [1,0]
- Fx = |F| cos theta
Simple Check
- Explain resolution 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 resolution 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
- Adjacent to theta is |F| cos theta (x).
- cos x, sin y
- i = [1,0]
- Fx = |F| cos theta
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