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Mathematics Worksheet

➡️ Vectors (Basic)

Chapter: Geometry · Level ★★☆ · Time: 30 min
SCORE___ / 20
NameClassDate
After this worksheet you can
Find the magnitude of a vector.Add two vectors.Subtract two vectors.Understand vector components.
📚 Quick Recap

A vector represents both a magnitude (size) and a direction — unlike a plain number, it tells you not just 'how much' but also 'which way,' making it perfect for describing motion and force.

🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4

1The magnitude of (5,12) is:
2The magnitude of (0,7) is:
3(3,−1) + (−2,5) = ?
4(5,6) − (2,3) = ?

🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11

5The magnitude of (a, b) is .
6Vectors are added by component.
7Find the magnitude of (5,12).
8Find the magnitude of (0,7).
9Add (3,−1) and (−2,5).

🚀 Section C · Challenge ● CHALLENGE 5

10Subtract (5,6) − (2,3).
💭 Reflection — the most useful thing I learned:
A ___/4   B ___/11   C ___/5   Total ___/20 Teacher's Signature Parent's Signature
✂ answer key — fold or cut before handing out

1-A   2-A   3-A   4-A  |  5 √(a2 + b2)   6 component   7 = 13   8 = 7   9 = (1,4)  |  10 = (3,3)

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