CAIE IGCSE Mathematics Extended Multiplying Vectors by Scalars

Practise multiplying column and directed vectors by scalars and using the scaled vector to extend a segment or locate a point.

Syllabus
2028–2030
Objective
E7.2.3
Level
Extended

Exam points

  • multiply every vector component by the scalar and preserve each component's sign
  • interpret kAB as a vector with k times the magnitude and reversed direction when k is negative
  • add the scaled displacement to a position vector to determine the coordinates of a new point

E7.2.3 Multiply a vector by a scalar question 1

[Maximum number: 2]

A is the point (3,7) and B is the point (-1,5).

AC→=3BA→\overrightarrow{A C}=3 \overrightarrow{B A}

Find the coordinates of C.

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