Step 1:

The vector is $\"\"$

The standard form of the vector is $\"\"$

Magnitude of the vector $\"\"$ .

$\"\"$

Magnitude is $\"\"$ .

Step 2:

The vector is $\"\"$

Direction angle is $\"\"$ .

Where $\"\"$ .

$\"\"$

The vector is $\"\"$ lies in IV quadrant, $\"\"$ lies in IV quadrant.

The reference angle $\"\"$

$\"\"$

Direction angle is $\"\"$ .

Solution :

Magnitude is $\"\"$ .

Direction angle is $\"\"$ .