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:

$||(a,b)|| = \sqrt{a^2+b^2}$

So, for example, the first vector has magnitude

$||(2,1)|| = \sqrt{2^2+1^2}=\sqrt{4+1}=\sqrt{5}$

The second vector has magnitude

$||(0,1)||=\sqrt{0^2+1^2}=\sqrt{0+1}=1$

You can go on like this with all the other cases