$\"\"$

\

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

\

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

\

Find the cross product :

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

Find the magnitudes :

\

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

\

$\"\"$

\

$\"\"$ .

\

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

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

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

\

Substitute $\"\"$ , $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Therefore, the angle between the two vectors is $\"\"$ .

\

$\"\"$

\

The angle between the two vectors is $\"\"$ .