$\"\"$

The vertical component is $\"\"$ .

The horizontal component is $\"\"$ .

Magnitude of the vector is $\"\"$ .

The direction of the vector is $\"\"$ , $\"\"$ .

Since $\"\"$ , the angle $\"\"$ is in third quadrant.

Draw a right triangle for the given data :

$\"\"$

Find the direction of the vector, $\"\"$ , by using the tangent ratio.

From the diagram :

$\"\"$

Since $\"\"$ is in third quadrant, $\"\"$ .

The direction of the vector $\"\"$ .

$\"\"$

Find the magnitude of the vector, $\"\"$ , by using the cosine ratio.

$\"\"$

Thus, the magnitude of the vector is about $\"\"$ .

The magnitude of the vector is about $\"\"$ at $\"\"$ .