# 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?

##### 1 Answer

Nov 9, 2015

Use unit vectors to solve the addition of two vectors.

#### Explanation:

**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!