Calculus / Thomas' Calculus: Early Transcendentals 13 / Chapter 12.4 / Problem 27E

Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass

Theory and ExamplesWhich of the following are always true,

Chapter 12, Problem 27E

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Problem 27E

Theory and Examples

Which of the following are always true, and which are not always true? Give reasons for your answers

$\left|{u}\right|\ =\ \sqrt{u\ .\ u}$ u . u = $\left|{u}\right|$ u $\times{}\ 0=0\times{}u=0$ u $\times{}\ (-u)\ =\ 0$ u $\times{}v\ =v\times{}u$ u $\times{}(v\ +\ w)\ =\ u\ \times{}v+u\times{}w$ (u $\times{}v)$ . v = 0(u $\times{}v)$ . w = u . (v $\times{}w)$

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Theory and ExamplesWhich of the following are always true,

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