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Vectors — Introduction (2D) Worksheets

Free printable vectors — introduction (2d) worksheets with step-by-step answer keys. Every worksheet is uniquely generated so students never see the same problems twice. Topics covered range from vector from point a to point b at the easy level through to dot product and perpendicularity check at the advanced level.

R1VG2

Difficulty Levels

Beginner

Concepts
Vector from point A to point B
Number Range
coordinates −4 to 6
Steps
2 steps
Example
Vector from A(1,2) to B(4,5)

Easy

Concepts
2D vector addition and subtraction
Number Range
integers −5 to 7
Steps
2 steps
Example
(3, −1) + (2, 4)

Medium

Concepts
2D vector magnitude (length)
Number Range
integers −5 to 7
Steps
3 steps
Example
|v| for v = (3, 4)

Hard

Concepts
Dot product and perpendicularity check
Number Range
integers −5 to 7
Steps
2–3 steps
Example
a · b for a=(2,3), b=(−3,2)

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