Unit 3: Geometry and Trigonometry
Topic 3.12: Vectors (HL only) Questions
Practice 20 exam-style questions for IB Math AA SL Topic 3.12. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
1Write down1 mark
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Write down the position vector of .
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Write the vector −2i + 5j − k in column form.
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Find the unit vector in the direction of a = (6, 8)ᵀ.
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The distance between A and B is found from:
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The position vector of the point (−4, 7) is:
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Find the exact magnitude of v = (1, −2, 2)ᵀ.
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Find the magnitude of the vector a = 5i + 12j.
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Points A and B have position vectors OA = (−1, 3)ᵀ and OB = (4, −2)ᵀ. Find AB.
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Find and the unit vector in the direction of .
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Find the vector of magnitude 21 in the direction of d = (6, −2, 3)ᵀ.
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Squaring a component before adding (in the magnitude formula) ensures the result is:
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Find the unit vector in the direction of v = (1, −2, 2)ᵀ.
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The vector (8, p)ᵀ has magnitude 10. Find the possible values of p.
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