$\"\"$

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

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The dot product of the vectors $\"\"$ and $\"\"$ is $\"\"$ .

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The dot product of $\"\"$ and $\"\"$ is

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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Angle between the vectors is $\"\"$ .

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The magnitude of vector $\"\"$ is $\"\"$ .

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$\"\"$

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$\"\"$

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The magnitude of vector $\"\"$ is $\"\"$ .

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$\"\"$

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$\"\"$

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Substitute $\"\"$ and $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ . \ \

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$\"\"$

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$\"\"$ and $\"\"$ .