\(\overrightarrow{ u }=u \cos 45 \hat{ i }+ u \sin 45 \hat{ j }.....(2)\)

\(\overrightarrow{ v }= v \cos 45 \hat{ i }- v \sin 45 \hat{ j }.....(3)\)

\(|\overrightarrow{\Delta P }|=| m (\overrightarrow{ v }-\overrightarrow{ u })|.....(4)\)

\(\Delta P =2 mu \sin 45^{\circ}\)

\(=2 \times 5 \times 10^{-3} \times 5 \sqrt{2} \times \frac{1}{\sqrt{2}}\)

\(=50 \times 10^{-3}\)

\(=5 \times 10^{-2}\)