$\"\"$

Let $\"\"$ point east, $\"\"$ point north, and $\"\"$ point is up.

The velocity of air plane is represented by vector $\"\"$ .

The velocity of wind is represented by vector $\"\"$ .

The vector $\"\"$ has magnitude of $\"\"$ and a direction angle of $\"\"$ .

The component form of $\"\"$ is

$\"\"$

The component form of $\"\"$ is

$\"\"$

The resultant velocity of airplane is $\"\"$ .

$\"\"$

$\"\"$ .

$\"\"$

The resultant velocity of air plane is $\"\"$ .