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The velocity vector is 20√2 i - 20√2 j.
When considering motion in two dimensions we use the terms unit vectors i and j.
As shown in the adjoining diagram,
Let the North direction be represented by +j.
Let the South direction be represented by -j.
Let the East direction be represented by +i.
Let the West direction be represented by -i.
We are given, that the wind is blowing from the southeast direction at 20 km/hr.
On resolving its velocity in the south and east directions,
The velocity in vertical direction is 20cos45 -j = -20√2 j.
The velocity is horizontal direction is 20sin45 i = 20√2 i.
Thus, the velocity vector is 20√2 i - 20√2 j.
To know more about "resolution of vectors", refer to the link given below"
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