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Edexcel IGCSE Math A 5.1 vectors

Use this vectors page to combine vectors, simplify expressions in a and b, find magnitudes and prove geometrical relationships.

Syllabus
First assessment 2018
Course
Math A 4MA1
Level
Higher

Exam points

  • Write vectors in terms of given basis vectors such as a and b in diagrams.
  • Find resultant vectors or magnitudes from diagram and coordinate information.
  • Use vector methods to prove collinearity, ratios or a point position in a diagram.

Covered syllabus points

5.1.HA Vector magnitude and direction5.1.HB Vector notation and column vectors5.1.HC Multiply vectors by scalar quantities5.1.HD Add and subtract vectors5.1.HE Magnitude of a vector5.1.HF Resultant vectors5.1.HG Vector methods for simple geometrical proofs

5.1 Vectors question 1

[Maximum number: 3]

OAB is a triangle.

Figure for Question 5.1 Vectors question 1 — Edexcel IGCSE Math A Higher

OA→=4a\overrightarrow{OA}=4\mathbf aOB→=4b\overrightarrow{OB}=4\mathbf bP is the point on AB such that AP:PB=1:3

Question (a)

(a)

Write down AB→\overrightarrow{AB} in terms of a\mathbf a and b\mathbf b

[ 1 ]

Question (b)

(b)

Express OP→\overrightarrow{OP} in terms of a\mathbf a and b\mathbf b
Give your answer in its simplest form.

[ 2 ]

5.1 Vectors question 2

[Maximum number: 3]

Here are two vectors.

FG→=(−52)HG→=(414)\overrightarrow{F G}=\binom{-5}{2} \quad \overrightarrow{H G}=\binom{4}{14}

Calculate the magnitude of the vector HF→\overrightarrow{H F}

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