$\"\"$

The vector $\"\"$ lies in the first quadrant and makes an angle $\"\"$ with the positive $\"\"$ -axis.

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

Consider the vector is $\"\"$ and angle $\"\"$ .

The vector values are $\"\"$ and $\"\"$ .

Substitute $\"\"$ and $\"\"$ in $\"\"$ .

$\"\"$ .

Substitute $\"\"$ and $\"\"$ in $\"\"$ .

$\"\"$ .

Therefore, the vector is $\"\"$ .

$\"\"$

The vector is $\"\"$ .