Find the magnitude of the column vector (3, 4).
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Practise IGCSE 0580 questions in the style of recent Extended past papers, organised by syllabus subtopic. Each set comes with an examiner-style mark scheme and a downloadable worksheet.
Everything students ask about Cambridge IGCSE 0580 Magnitude of a vector Topical Past Papers.
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These Magnitude of a vector Topical Past Paper Questions are written in the style of recent Cambridge IGCSE Mathematics 0580 Extended papers and grouped by the Transformations and vectors (E7.3) section of the 2025–2027 syllabus. Use them to revise the exact skills examiners test in this part of the course.
Each question is graded Easy → Medium → Hard, plus an A★ Challenge for top-grade preparation. Tap a question to mark your own answer, then unlock the examiner-style mark scheme with model solutions and examiner tips. A printable Topical Past Papers worksheet is included so you can practise offline.
Calculate the magnitude (modulus) of a column vector using Pythagoras' theorem.
Find the magnitude of the column vector (3, 4).
Find the magnitude of the column vector (6, 8).
[1 mark]Find the magnitude of the column vector (−5, 12).
[2 marks]Find the exact magnitude of the column vector (2, 5). Give your answer in surd form.
[2 marks]Which formula gives the magnitude of a column vector (a, b)?
Vectors u = (4, −3) and v = (−1, 6).
Find the column vector u + v.
[1 mark]Find the exact magnitude of u + v, in surd form.
[2 marks]A column vector (k, 8) has magnitude 17. Find the positive value of k.
[2 marks]A vector v = (6, 8) is scaled by a factor k to give a new vector with magnitude 25. Find the positive value of k.
[2 marks]