$\"\"$

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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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The vector $\"\"$ .

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$\"\"$

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$\"\"$ .

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

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The vector $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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

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$\"\"$

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$\"\"$

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