Under construction Stations under construction may not yet contain a good range of resources covering all the key questions and different types of problem.

How can we use vectors to interpret geometry?

Key questions

  1. 1

    What is a vector quantity and how is it different from a scalar quantity?

  2. 2

    What are the unit vectors \(\mathbf{i},\mathbf{j},\mathbf{k}\)?

  3. 3

    How can we use vectors to define lines?

  4. 4

    How can vectors help us to tackle geometric problems?

  5. 5

    How can we use vectors in mechanics?

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Introducing...

Resource type Title
Building blocks Hit the spot
Fluency exercise Vector squares

Developing...

Resource type Title
Rich example A frictional story
Building blocks Three lines
Fluency exercise Lots of vector lines!
Many ways problem Make it stop!
Food for thought Where did it land?

Review questions

Title Ref
Can we show the centre of mass moves in a straight line? R6491
How can we show that $P, Q$ and $R$ are collinear? R9575
If $A$, $P$ and $B$ are collinear, what's the value of $\lambda$? R7285
If $C$ is on this line, can we find the ratio $AC:CB$? R5153
If a disc is missing two smaller discs, where’s its centre of gravity? R6670
In a $\quantity{60}{km/h}$ wind, what bearing should this plane take? R6009
What if we join the midpoints of opposite sides of a quadrilateral? R8339
What is the position vector of $D$ if $ABCD$ is a parallelogram? R8215
When are these vectors parallel/perpendicular/the same length? R9629