# An airplane has an airspeed of 500 kilometers per hour bearing N45°E. The wind velocity is 60 kilometers per hour in the direction N30°W. Find the resultant vector representing the path of the plane relative to the ground?

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Use unit vectors to solve the addition of two vectors.

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**Airplane** :

**Wind** :

Next, **sum** the two vectors:

**Sum**

**Angle** of resultant vector:

or

**Magnitude** of resultant vector:

Here is a **sketch** of the plane vector

hope that helped!

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You'll want to sketch this one out.

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The two component forces can be broken down into their vertical and horizontal forces. The plane moves at 45 degrees NE, which means the east component of this force is

The wind moves NW at 30 degrees. The horizontal velocity is

This means that the overall forces if you add and subtract in the vertical and horizontal directions:

Horizontal Velocity will be

Vertical Velocity will be

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