0580/12 Feb/Mar 2021, Question 7: Multiplying a Vector by a Scalar
Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 2 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Work out a scalar multiple of the column vector (−3, 7) and the sum of the column vectors (8, −6) and (−5, 2).
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Part (a) · 1 mark
Multiply the column vector (−3, 7) by 2 and give the resulting column vector.
- 12 × (−3, 7) = (2 × −3, 2 × 7)
- 2= column vector (−6, 14)
Answercolumn vector (−6, 14)
Part (b) · 1 mark
Add the column vectors (8, −6) and (−5, 2) and give the resulting column vector.
- 1(8 + −5, −6 + 2)
- 2= column vector (3, −4)
Answercolumn vector (3, −4)
Stuck on a step? Read the free lesson: Multiplying a Vector by a Scalar
Practise more multiplying a vector by a scalar questions
Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on multiplying a vector by a scalar
Also searched as: 0580/12/F/M/21 · 0580_m21_qp_12 · 0580 m21 12 · question 7.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.