$\"\"$

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

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

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Compare the vectors with general form.

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

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$\"\"$

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$\"\"$ .

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

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$\"\"$

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$\"\"$ .

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$\"\"$

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The decomposition of $\"\"$ into $\"\"$ and $\"\"$ , where $\"\"$ is parallel to $\"\"$ and $\"\"$ is orthogonal to $\"\"$ , is $\"\"$ and $\"\"$ .

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

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

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$\"\"$

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ 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 $\"\"$ .