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Step 1 :

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Definition of vector addition and scalar multiplication :

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Let \"\" and \"\" be vectors and let k be a scalar.

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Then the sum of u and v is the vector :

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\"\"

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The scalar multiple of k times u is the vector :

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\"\"

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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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Step 2 :

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

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The expression is \"\"

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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,

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

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Solution :

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

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