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Which of the following statements are true for all vectors a, b? A. ||a - - b||² B. a∙b=0⇒a=0 C. a. b = a parallel to b. = ||a||²+2a.b+ ||b||², or b = 0, |||a|| ||b||, a ‡ 0, b / 0 ⇒ 1. A and C only 2. B and C only 3. all of them ○ 4. C only ○ 5. B only O 6. A and B only 7. none of them ● 8. A only

Which of the following statements are true for all vectors a, b? A. ||a - - b||² B. a∙b=0⇒a=0 C. a. b = a parallel to b. = ||a||²+2a.b+ ||b||², or b = 0, |||a|| ||b||, a ‡ 0, b / 0 ⇒ 1. A and C only 2. B and C only 3. all of them ○ 4. C only ○ 5. B only O 6. A and B only 7. none of them ● 8. A only

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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Explain all three options in detail,.. please. I don't get C what it means |a*b| = ||a|| ||b||

Which of the following statements are true for all vectors a, b? A. ||a - - b||² B. a∙b=0⇒a=0 C. a. b = a parallel to b. = ||a||²+2a.b+ ||b||², or b = 0, |||a|| ||b||, a ‡ 0, b / 0 ⇒ 1. A and C only 2. B and C only 3. all of them ○ 4. C only ○ 5. B only O 6. A and B only 7. none of them ● 8. A only
Transcribed Image Text:Which of the following statements are true for all vectors a, b? A. ||a - - b||² B. a∙b=0⇒a=0 C. a. b = a parallel to b. = ||a||²+2a.b+ ||b||², or b = 0, |||a|| ||b||, a ‡ 0, b / 0 ⇒ 1. A and C only 2. B and C only 3. all of them ○ 4. C only ○ 5. B only O 6. A and B only 7. none of them ● 8. A only
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