$\"\"$ \ \

Cauchy-Schwarz Inequality is $\"\"$ .

The value of $\"\"$ lies between $\"\"$ and $\"\"$ .

$\"\"$ .

Multiply each side by $\"\"$

$\"\"$

Theorem 3: If $\"\"$ is the angle between vectors $\"\"$ and $\"\"$ then $\"\"$ .

$\"\"$

Therefore, $\"\"$ .

$\"\"$

Cauchy-Schwarz Inequality $\"\"$ is proved.