change in velocity if submarine

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A submarine is travelling at 20 km/h due east. A short time later it is travelling due north at 15 km/h. Calculate the change in velocity of the submarine.

My answer is 25km/hr at N53.13E

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Take east as $\hat {i}$ and north as $\hat {j}$. So the final velocity is $15 \hat j$, initial velocity is $20 \hat i$. Hence change in velocity= $15 \hat j-20 \hat i$ whose modulus is 25, and direction is $36.87$ north-west. You can guess the direction by drawing a triangle of the vector addition. (add $15\hat j$ and $-20 \hat i$)

Correct me if I'm wrong.