Vectors — Advanced (3D) Worksheets
Free printable vectors — advanced (3d) worksheets with step-by-step answer keys. Every worksheet is uniquely generated so students never see the same problems twice. Topics covered range from 3d vector addition and subtraction at the easy level through to parametric line equations and plane intersections at the advanced level.
R2VG3
Difficulty Levels
Beginner
- Concepts
- 3D vector addition and subtraction
- Number Range
- integers −5 to 5
- Steps
- 2 steps
- Example
- (2, −1, 3) + (1, 4, −2)
Easy
- Concepts
- 3D magnitude and scalar multiplication
- Number Range
- integers −5 to 5, scalars −3 to 5
- Steps
- 2–3 steps
- Example
- |v| for v = (1, 2, 3)
Medium
- Concepts
- Cross product of 3D vectors
- Number Range
- integers −5 to 5
- Steps
- 5 steps
- Example
- a × b for a=(1,2,3), b=(4,5,6)
Hard
- Concepts
- Parametric line equations and plane intersections
- Number Range
- integers −4 to 5
- Steps
- 2–4 steps
- Example
- Line through P(1,2,3) with d=(2,−1,1), find xy-plane intersection
Try a Sample Problem
Try it right now
Learn the theory → Read our vectors — advanced (3d) guide with worked examples.
Practice online → Interactive vectors — advanced (3d) problems with instant feedback.