Vectors a and b are some vectors in a space with inner Euclidean product, and it is known that ||a+b|| = ||a-b. Then it follows that (a) b=0 (b) a and b are proportional to each other (c) a and bare orthogonal

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Vectors a and b are some vectors in a space with inner Euclidean product, and it is
known that ||a + b|| = ||a-b||. Then it follows that
(a) b=0
(b) a and b are proportional to each other
(c) a and b are orthogonal
Transcribed Image Text:Vectors a and b are some vectors in a space with inner Euclidean product, and it is known that ||a + b|| = ||a-b||. Then it follows that (a) b=0 (b) a and b are proportional to each other (c) a and b are orthogonal
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