1.2: Unit vector in the direction of a combination

0606/11/M/J/18 — Question 8 · 4 marks

(a)
Given that p=2i5j\mathbf{p} = 2\mathbf{i} - 5\mathbf{j} and q=i3j\mathbf{q} = \mathbf{i} - 3\mathbf{j}, find the unit vector in the direction of 3p4q3\mathbf{p} - 4\mathbf{q}.
[4]