Unit 3: Geometry and Trigonometry

Topic 3.10: Vector definitions (HL only) Questions

Practice 11 exam-style questions for IB Math AI SL Topic 3.10. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.

11 mark
2026
Which of these is a vector (not a scalar)?
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2Find2 marks
2026
A hiker's displacement from camp is km. Find how far the hiker is from camp.
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31 mark
2026
The magnitude of is:
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41 mark
2026
A unit vector must have:
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51 mark
2026
If , then equals:
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61 mark
2026
and . The distance is:
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7Find3 marks
2026
A robot moves m, then m, then m. Find its total displacement and how far it is from the start.
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8Find2 marks
2026
Given and , find .
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9Find3 marks
2026
A current flows along . Find the unit vector in the direction of the current.
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10Find3 marks
2026
Drone A is at position and drone B is at (km). Find and the distance between the drones.
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11Find4 marks
2026
A plane is pushed by engine thrust N and a crosswind N. Find the resultant force and its magnitude. Comment on the direction.
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