Transformations and vectors
Lesson 14 of 14
Column vectors
Objective. Add, subtract and scale column vectors, and use them for translations.
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.
- 12(−1, 4) = (−2, 8).
- 2(3, −1) + (−2, 8) = (1, 7).
Answer: (1, 7)
Practice
Each question comes with a picture and a listen button. Try it first, then reveal the answer.
Common mistake. Mixing the order of the components when translating.
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