Question

Determine the displacement vector that must be added to the displacement(25i - 16j) metre to give a displacement of 7.0 metres pointing in the x+ direction

Answer 1

Given:

$\vec r_i=25\hat i-16\hat j$

$\vec r_f=7\hat i$

$$\vec r_f=\vec r_i+\vec d$$

$$\vec d=\vec r_f-\vec r_i=7\hat i-(25\hat i-16\hat j)=-18\hat i+16\hat j$$