1. ## Application of vector

An aircraft on a bearing of 190 degree and traveling at 200 km/h is affected by a wind bearing 270 degree and blowing at 75 km/h. Use Cartesian vectors to determine the resultant vector

2. Hello, lakshmi_arin!

An aircraft on a bearing of 190° and traveling at 200 km/h
is affected by a wind bearing 270° and blowing at 75 km/h.
Use Cartesian vectors to determine the resultant vector
On a Cartesian system, it looks like this:
Code:
              :
:
75   :
W *--------* - - - -
80° /:O
/ :
/  :
/200
/
*
P

The plane's vector is: . $\overrightarrow{OP} \:=\:\langle \text{-}200\cos80^o,\:\text{-}200\sin80^o\rangle$

The wind's vector is: . $\overrightarrow{OW} \:=\:\langle \text{-}75,\;0\rangle$

The resultant is: . $\overrightarrow{OP} + \overrightarrow{OW} \;=\;\langle \text{-}200\cos80^o - 75,\;\text{-}200\sin80^o\rangle$