# Using Cartesian Vectors

• Feb 21st 2011, 05:41 PM
Barthayn
Using Cartesian Vectors
How would I solve the question below using Cartesian vectors?

10. A plane is flying southeast at a constant speed of 900 km/h. The wind is blowing towards the north at 100 km/h. Determine the resultant velocity of the plane relative to the ground.

How would I do this? I can use geometric vectors and get the correct answer and angle, but the the Cartesian vectors.
• Feb 21st 2011, 05:52 PM
skeeter
Quote:

Originally Posted by Barthayn
How would I solve the question below using Cartesian vectors?

10. A plane is flying southeast at a constant speed of 900 km/h. The wind is blowing towards the north at 100 km/h. Determine the resultant velocity of the plane relative to the ground.

How would I do this? I can use geometric vectors and get the correct answer and angle, but the the Cartesian vectors.

air vector , $\vec{A} = 450\sqrt{2} \cdot \vec{i} - 450\sqrt{2} \cdot \vec{j}$

wind vector, $\vec{W} = 100 \vec{j}$

ground vector, $\vec{G} = \vec{A} + \vec{W}$