Describe the algebraic properties of dot product. (a) Is it right-distributive over addition: (b) Is it left-distributive

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Describe the algebraic properties of dot product.
(a) Is it right-distributive over addition:

(b) Is it left-distributive (over addition)?
(c) Does it commute?
(d) Associate?
(e) How does it interact with scalar multiplication?
As always, you must back any assertion with either a proof or an example.

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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 01:47 AM

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Describe the algebraic properties of dot product. (a) Is it right-distributive over addition: (b) Is it left-distributive

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(u+v)•w u• w +v• w?

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In each item below assume that the vectors have components u 1 u n ...View the full answer

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