$\"\"$

\

The vectors are $\"\"$ and $\"\"$ .

\

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

\

If $\"\"$ is the angle between non zero vectors $\"\"$ and $\"\"$ , then $\"\"$ .

\

Find the dot product :

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

Find the magnitudes :

\

Magnitude of $\"\"$ is $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

Magnitude of $\"\"$ is $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

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

\

$\"\"$

\

$\"\"$

\

$\"\"$ .