Question

Find the magnitude of the following position vector

Answer 1

The magnitude of a vector is the square root of the sum of the squares of its coordinates:

`||(a,b)|| = √(a^2+b^2)`

So, for example, the first vector has magnitude

`||(2,1)|| = √(2^2+1^2)=√(4+1)=√(5)`

The second vector has magnitude

`||(0,1)||=√(0^2+1^2)=√(0+1)=1`

You can go on like this with all the other cases