$\"\"$

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Definition of vector addition and scalar multiplication:

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Let $\"\"$ and $\"\"$ be vectors and let $\"\"$ be a scalar,

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then the sum of u and v is the vector: $\"\"$ .

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The scalar multiple of $\"\"$ times u is the vector: $\"\"$ .

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Definition of the dot product:

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

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$\"\"$

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

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Find $\"\"$ .

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Evaluation of $\"\"$ :

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$\"\"$

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Evaluation of $\"\"$ :

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$\"\"$

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Evaluation of $\"\"$ :

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$\"\"$

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Thus, the value of $\"\"$ and it is a vector.

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$\"\"$

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The value of $\"\"$ and it is a vector.