Match each property with its name. Inequality of arithmetic and geometric means Commutativity of dot product Distributivity of dot product 1. Triangle inequality 2. 3. Cauchy-Schwarz 4. inequality 5. u. (v + w)=u.v+u.w for all vectors u, v, w = R¹ u.v=v.u for all vectors u, v € R¹ |u.v ≤ ||u|| ||v|| for all vectors u, v € R¹ ||u+v|| ≤ ||u|| + ||v|| for all vectors u, v € R a+b √ab ≤ 2 for all positive scalars a, b = R

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Match each property with its name.
Inequality of
arithmetic and
geometric means
Commutativity of
dot product
Distributivity of dot
product
1.
Triangle inequality
2.
3.
Cauchy-Schwarz 4.
inequality
5.
u. (v + w)=u.v+u.w
for all vectors u, v, w = R¹
u.v=v.u
for all vectors u, v € R¹
|u.v ≤ ||u|| ||v||
for all vectors u, v € R¹
||u+v|| ≤ ||u|| + ||v||
for all vectors u, v € R
a+b
√ab ≤
2
for all positive scalars a, b € R
Transcribed Image Text:Match each property with its name. Inequality of arithmetic and geometric means Commutativity of dot product Distributivity of dot product 1. Triangle inequality 2. 3. Cauchy-Schwarz 4. inequality 5. u. (v + w)=u.v+u.w for all vectors u, v, w = R¹ u.v=v.u for all vectors u, v € R¹ |u.v ≤ ||u|| ||v|| for all vectors u, v € R¹ ||u+v|| ≤ ||u|| + ||v|| for all vectors u, v € R a+b √ab ≤ 2 for all positive scalars a, b € R
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