Mark each of the following statements with a 1 if you agree, −1 if you disagree: (1) Red is my favorite color. (2) I consider myself to be a good athlete. (3) I like cats more than dogs. (4) I enjoy spicy foods. (5) Mathematics is my favorite subject. Your responses to the preceding “questionnaire” may be considered to form a vector in R5. Suppose that you and a friend calculate your respective “response vectors” for the questionnaire. Explain the significance of the dot product of your two vectors.
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