$\"\"$

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

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

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Find the dot product :

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$\"\"$

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$\"\"$ . \ \

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$\"\"$

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Find the magnitudes :

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

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$\"\"$

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

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$\"\"$

\

$\"\"$

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

\

$\"\"$

\

$\"\"$

\

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