$\"\"$

Observe the figure, v represented by directed line segment from $\"\"$ to $\"\"$ .

$\"\"$ (Write component form of vector)

$\"\"$ (Substitute: $\"\"$ )

$\"\"$ (Simplify) $\"\"$

$\"\"$ (Write magnitude formula)

$\"\"$ (Substitute: $\"\"$ )

$\"\"$ (Simplify) $\"\"$

The component form of vector is $\"\"$ and its magnitude is $\"\"$ .