Analysis & Approaches HL · Topic 3 · Geometry & Trigonometry

IB Math AA HL Vector Planes Worksheet (questions only)

HL vectors: equations of planes, intersections of lines and planes, angles between planes and shortest distances.

26 pages · 120 marks · questions only · free PDF for IB Mathematics: Analysis and Approaches HL students.

26pages
120marks
3difficulty levels
Nosolutions included
T3Geometry & Trigonometry

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What this AA HL vector planes worksheet covers

HL vectors: equations of planes, intersections of lines and planes, angles between planes and shortest distances. 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.

Vector, parametric and Cartesian forms of a plane
Normal vectors and the cross product
Intersection of a line and a plane; line of intersection of two planes
Shortest distance from a point to a plane
Exam tip for this topic. Find the normal with the cross product and check it is perpendicular to both direction vectors before continuing.

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. For the third band, compare your method with the matching questions in the AA HL question bank; if you want this set marked, send it to Mr Ahmad.

More AA HL worksheets on Geometry & Trigonometry

✓ = solutions included

Questions

Is this AA HL vector planes 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?

This set is questions only. If you would like it marked, or want the matching solutions, contact Mr Ahmad.

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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