OA = a, OB = b, K is the midpoint of OA, find OK

Step by step

The question

Question: O A is the vector a and O B is the vector b, and K is the midpoint of O A: find the vector O K.

1 Find a route

We want to go from O to K.

We go along arrows we know: O K.

So O K is O K.

2 Write it with a and b

O K is half of O A: half a.

3 Check

Let's check with numbers: a = (0, 4) and b = (6, 0).

Our answer gives (0, 2): exactly the step from O to K.

So it is right!

Let's look back.

First: find a route.

Then: write it with a and b.

Last: check.