$\"\"$

The vectors are $\"\"$ .

The angle between these vectors is $\"\"$ .

$\"\"$ (Apply dot product: $\"\"$ )

$\"\"$ (Apply magnitude formula for u and v: $\"\"$ )

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

$\"\"$ (Simplify)

$\"\"$ (Multiply each side by $\"\"$ )

$\"\"$ (Simplify)

$\"\"$ (Use calculator) $\"\"$

The angle between vectors u and v is $\"\"$ .