# Vectors Word Problem

I am stuck in a following question, the problem is that I am not understanding how to draw a picture of the following problem on a $Cartesian-Plane$.

Question: A small plane wishes to fly $due$ $north$ at $200$ $mph$ (as seen from the ground), in a wind blowing from the $northeast$ at $50$ $mph$. Tell with what $vector$ $velocity$ in the air it should travel (give the $i$ $j$$-$$components$).

Now there are following things confusing me while drawing the picture:

i) If the plane has to fly due north (as seen from the ground), then should I start the vector from Origin $O$ going to the north of the $Cartesian-Plane$ or start the vector from any point on $y-axis$ and take it to east?

ii) "wind blowing from the $northeast$", what does it mean? The wind is blowing from the direction 'North-East' to it's opposite direction or the wind is blowing from North to East? And how should I represent it's vector on the $Cartesian-Plane$?

iii) After making the vectors, would I need to find the components of the plane's vector in the direction of the wind's vector? Or I understood the question in wrong sense and I would have to do something-else?

Kindly help me in it by proper guiding me about which vector should go in which direction and from where it should be started? If possible try to make the proper image on paint and upload as an Answer or you can guide properly by writing the process of image-making in detail. This will help me a lot in understanding these types of questions. Thanks in advance.

The wind is blowing from the north-east means it is blowing in the direction of south-west, i.e. on a bearing of $225^o$.
$v_P=200j$ and $v_W=-\frac{50}{\sqrt{2}}(i+j)$
Then use the definition of relative velocity to get the velocity of the plane relative to the wind as $$_Pv_W=v_P-v_W$$