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Did you know that in the 1950's Brazilian footballers invented the swerving free kick? By kicking the ball in just the right place they managed to move it around the wall of defenders and quite often into the back of the net.

The kick had direction and magnitude, the two properties required to describe vectors.

 

So when the footballers are shouting things when about to take a free kick, do you think they remember vector work from school?

 

Probably not, they just want to score the goal.  But they will be thinking about the direction and magnitude(force) of the ball.

Describing vectors is often done using letters.

vectors explanation

Vectors are written as small case letter and in bold.  

Vectors are shown in the direction of the arrow.

In the example above A to B = a but if you went from B to A you would be going in the opposite direction therefore -a.

 

Lets have a look

In the diagram above it shows that

vectors     

Therefore


WY    = 2b   but YW = -2b as you would be moving in the opposite direction to b.     


MH    = 2b  + a.  Move along the horizontal first and then the vertical


RL   = -3b + a OR  a -3b                 

 

face

Look at the diagram and make some up of your own.

Note:

You can only travel by known vectors.

Lets go and get one over that wall of defenders.

10 questions