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Let V be a vector space with a scalar product. We will choose two vectors: u EV of length 3 and v EV of length 5 (with respect to the length concept coming from the given scalar product). In addition to the length condition, the vectors can be chosen arbitrarily. Which of the following values can the scalar product (ulv) not take, no matter how the vectors are chosen? (Note, you can choose multiple answers). A) 0 B) 10 C) 20 D) -10 E) -20

Let V be a vector space with a scalar product. We will choose two vectors: u EV of length 3 and v EV of length 5 (with respect to the length concept coming from the given scalar product). In addition to the length condition, the vectors can be chosen arbitrarily. Which of the following values can the scalar product (ulv) not take, no matter how the vectors are chosen? (Note, you can choose multiple answers). A) 0 B) 10 C) 20 D) -10 E) -20

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let V be a vector space with a scalar product. We will choose two vectors: u EV of length 3 and v EV of length 5 (with respect to the length concept coming from the given scalar product). In addition to the length condition, the vectors can be chosen arbitrarily. Which of the following values can the scalar product (ulv) not take, no matter how the vectors are chosen? (Note, you can choose multiple answers). A) 0 B) 10 C) 20 D) -10 E) -20
Transcribed Image Text:Let V be a vector space with a scalar product. We will choose two vectors: u EV of length 3 and v EV of length 5 (with respect to the length concept coming from the given scalar product). In addition to the length condition, the vectors can be chosen arbitrarily. Which of the following values can the scalar product (ulv) not take, no matter how the vectors are chosen? (Note, you can choose multiple answers). A) 0 B) 10 C) 20 D) -10 E) -20
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