Step 1 :

The vector equation of the wire is $\"\"$ and $\"\"$ .

The wire density is $\"\"$ .

Mass of the wire is $\"\"$ .

Where $\"\"$ .

Compare $\"\"$ with $\"\"$ .

$\"\"$ and $\"\"$ .

Substitute $\"\"$ and $\"\"$ in equation (1).

$\"\"$

Step 3 :

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

$\"\"$

Find mass of the wire :

$\"\"$

The mass of the wire is $\"\"$ .

Solution :

The mass of the wire is $\"\"$ .