QUICK REVIEW
Quick Review — Vector Addition and Subtraction — Foundational
Refresh the essential ideas and relationships for Vector Addition and Subtraction in just a few minutes.
TIME
5–10 minutes
BEST FOR
A rapid refresh
FINISH WITH
Key ideas refreshed
After this quick review, you'll be able to...
recall the essential ideas and decide what to review next.
Choose how you want to review
Course Alignment
This Physics Sensei Topic Review is an independent learning resource. Use it to reinforce key concepts, prepare for homework, or review before a quiz or exam.
Related Unit Review: If you need to review the complete unit material, review Vectors and Components here →
RESOURCE: Physics Sensei Topic Review | TOPIC ID: MEC-U02-T02 | TOPIC: Vector Addition and Subtraction | PARENT UNIT: MEC-U02 — Vectors and Components | COURSE LEVEL: Foundational
BEST USED ✓ After learning the topic ✓ Before starting homework ✓ Before a quiz or exam
Your Review Plan
Complete these four stages to quickly refresh the essential ideas and confirm you're ready to continue.
4 Stages • Approximately 5–10 minutes.
Quick Recall
Let's quickly refresh what you already know. These short recall activities will help you bring the most important ideas back to mind before reviewing them.
QUICK RECALL
Recall Activity
Complete the three statements from memory before revealing the answer.
State the two graphical rules: how do you add two vectors, and how do you subtract one vector from another?
Reveal Answers
Add by placing vectors head-to-tail. Subtract by reversing the vector being subtracted and then adding.
Why it works: Both rules preserve direction and make the resultant represent the net directed change.
Ready to refresh the essentials?
Great! Now let's review the most important ideas you'll want to remember.
Essential Idea
Take one last look at the most important concept from this topic. If you remember this idea, the rest will come back much more easily.
ESSENTIAL IDEA
Add Head-to-Tail; Subtract by Reversing
A vector sum gives the net change produced by two directed quantities. Place the second vector’s tail at the first vector’s head; the resultant runs from the first tail to the final head. For subtraction, reverse the vector being subtracted, then add it.
A⃗ + B⃗ = R⃗ • A⃗ − B⃗ = A⃗ + (−B⃗)
Example: Walk 6 m east, then 2 m west. The resultant displacement is 4 m east.
Sensei note: Do not subtract only the lengths. Direction is part of every vector.
Ready to check your memory?
You've refreshed the essential idea. Now see how much you remember before moving on. Need a quick reminder?
Confidence Check
You've refreshed the essential ideas. Now answer this quick confidence check to confirm you're ready to move on.
CONFIDENCE CHECK
Resultant Direction Check
Answer all three without notes.
A 5 N vector points east and a 3 N vector points west. What is their resultant?
Reveal Answers
2 N east.
Why it works: The vectors oppose each other, so the smaller westward vector reduces the larger eastward vector.
Ready for your next step?
Great work! You've refreshed the essential ideas. Now choose the resource that best matches what you'd like to do next. Need a quick reminder?
Next Step
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