The position vectors of points A and B are OA= and OB = .A point M is on AB such that AM = ½AB and a point N is on OB such that ON:NB= 1:3.

Find:

- AB
- NM;
- lNMl, correct to 1 decimal place.
- A translation vector maps A onto A'(5,−1). Find the coordinates of the image of B under the translation vector.