Subtraction with vectors
I can find the difference between vectors.
Subtraction with vectors
I can find the difference between vectors.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Vectors can be subtracted.
- This can be done when the vectors are in column form.
- Subtraction can be done when the vectors are drawn.
Keywords
Vector - A vector can be used to describe a translation.
Displacement - Displacement is the distance from the starting point when measured in a straight line.
Resultant vector - A resultant vector is the single vector that produces the same effect as a combination of other vectors.
Additive inverse - The additive inverse of a number is a number that, when added to the original number, gives the sum of 0.
Common misconception
When calculating the resultant vector, pupils can incorrectly sum vectors due to opposite directions or proportions of vectors.
Encourage pupils to write a clear vector pathway; using highlighters can help to visualise this pathway.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Lesson video
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Starter quiz
6 Questions
$$-6\choose4$$ + $$2\choose1$$ -
$$-4\choose5$$
$$4\choose3$$ + $$-9\choose-7$$ -
$$-5\choose-4$$
$$-2\choose1$$ + $$-2\choose-6$$ -
$$-4\choose-5$$
$$-3\choose4$$ + $$-2\choose0$$ -
$$-5\choose4$$
$$-1\choose7$$ + $$5\choose-2$$ -
$$4\choose5$$
$$-2\choose6$$ + $$7\choose-2$$ -
$$5\choose4$$
Exit quiz
6 Questions
$${-2 \choose 3}-{4\choose 1}$$ -
$${-2 \choose 3}+{-4\choose -1}$$
$${-2 \choose 3}-{4\choose -1}$$ -
$${-2 \choose 3}+{-4\choose 1}$$
$${-2 \choose 3}-{-4\choose 1}$$ -
$${-2 \choose 3}+{4\choose -1}$$
$${-2 \choose 3}-{-4\choose -1}$$ -
$${-2 \choose 3}+{4\choose 1}$$
$${-2 \choose 3}-{4\choose 1}$$ -
$${-6 \choose 2}$$
$${-2 \choose 3}-{4\choose -1}$$ -
$${-6 \choose 4}$$
$${-2 \choose 3}-{-4\choose 1}$$ -
$${2 \choose 2}$$
$${-2 \choose 3}-{-4\choose -1}$$ -
$${2 \choose 4}$$