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CAIE IGCSE Mathematics Extended E7.2.3 Multiply a Vector By a Scalar Questions

Practise Extended CAIE IGCSE Mathematics by multiplying every vector component by a scalar, tracking direction for negative factors and using the scaled displacement to find coordinates.

Syllabus
2028–2030
Course
Mathematics 0580
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, reversing direction when k is negative.
  • Add the scaled displacement to a position vector to determine the coordinates of a new point.

CAIE IGCSE Mathematics Extended E7.2.3 Multiply a Vector By a Scalar Questions question 1

[Maximum number: 1]

F is the point (1,-4), FG→=(8−3)\overrightarrow{FG}=\binom{8}{-3} and GH→=(−1235)\overrightarrow{GH}=\binom{-12}{35}.
Find

3FG→3\overrightarrow{FG}

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