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MathidiaMathematics Academy
Transformations and vectors
Lesson 14 of 14
Review

Column vectors

Objective. Add, subtract and scale column vectors, and use them for translations.

  1. 1. Learn
  2. 2. Worked example
  3. 3. Practice
  4. 4. Feedback
  5. 5. Continue

Learn: the key idea

A column vector gives movement right/left on top and up/down underneath. Adding vectors adds each component separately.

Worked example

Work out (3, −1) + 2(−1, 4) as column vectors.

−1) + 2(−1
Illustrated card showing −1) + 2(−1
  1. 12(−1, 4) = (−2, 8).
  2. 2(3, −1) + (−2, 8) = (1, 7).

Answer: (1, 7)

Concept mastery

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Practice

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Common mistake. Mixing the order of the components when translating.

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