Analysis & Approaches HL · Topic 3 · Geometry & Trigonometry

IB Math AA HL Vector Properties Worksheet (with full solutions)

Vector basics: components, magnitude, unit vectors, scalar product and the angle between vectors.

27 pages · 120 marks · with full solutions · free PDF for IB Mathematics: Analysis and Approaches HL students.

27pages
120marks
3difficulty levels
Yessolutions included
T3Geometry & Trigonometry

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What this AA HL vector properties worksheet covers

Vector basics: components, magnitude, unit vectors, scalar product and the angle between vectors. The questions follow the order of the AA HL syllabus for Topic 3 (Geometry & Trigonometry) and are graded in three bands — routine practice, exam-standard, and the harder multi-step questions that separate a 6 from a 7.

Column and i, j, k notation; magnitude and unit vectors
Scalar product and perpendicular vectors
Angle between two vectors
Position vectors and midpoints
Exam tip for this topic. A zero scalar product means perpendicular — state the property, not just the number.

Preview

How to use it

  1. Do the first band without the AA HL formula booklet, then check which formulas you had to look up — those are the ones to memorise.
  2. Time the second band at roughly 1.2 minutes per mark, the pace of Paper 1 and Paper 2.
  3. Mark the third band against the solutions and rewrite every question you lost marks on from a blank page.

More AA HL worksheets on Geometry & Trigonometry

✓ = solutions included

The same topic for other courses

Questions

Is this AA HL vector properties worksheet free?

Yes — download the PDF with no sign-up. It is one of over 130 free IB Math worksheets on this site, written to match the current syllabus.

Does it come with answers?

Yes, full worked solutions are included at the end of the PDF.

Which IB course is it for?

IB Mathematics: Analysis and Approaches HL. The same topic is also available for the other courses where it is on the syllabus — see the links above.

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