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Get Full Access to Calculus Volume 3 - 1 Edition - Chapter 2.3 - Problem 165
Get Full Access to Calculus Volume 3 - 1 Edition - Chapter 2.3 - Problem 165

× ISBN: 9781938168079 2033

## Solution for problem 165 Chapter 2.3

Calculus Volume 3 | 1st Edition

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Problem 165

Consider $$\mathbf{u}=\langle a, b, c\rangle$$ a nonzero threedimensional vector. Let $$\cos \alpha, \quad \cos \beta$$, and $$\cos \gamma$$ be the directions of the cosines of u. Show that $$\cos ^{2} \alpha+\cos ^{2} \beta+\cos ^{2} \gamma=1$$.

Text Transcription:

u = langle a, b, c rangle

cos alpha, cos beta

cos gamma

cos^2 alpha + cos^2 beta + cos^2 gamma = 1

Step-by-Step Solution:
Step 1 of 3

Chapter​ ​10​ ​Notes Frederick​ ​Griffith-​ ​discovered​ ​that​ ​a​ ​transforming​ ​factor​ ​could​ ​be​ ​transferred​ ​into​ ​a​ ​bacterial​ ​cell - Found​ ​that​ ​when​ ​he​ ​exposed​ ​heat​ ​killed​ ​pathogenic​ ​bacteria​ ​to​ ​harmless​ ​bacteria,​ ​some harmless​ ​bacteria​ ​were​ ​converted​ ​to​ ​disease​ ​causing​ ​bacteria​ ​and​ ​those​ ​disease characteristics​ ​were​ ​passed​ ​down​ t ​ o​​ heir​ ffspring Until​ ​the​ ​1940s,​ ​proteins​ ​had​ ​a​ ​stronger​ ​case​ ​for​ ​genetic​ ​material​ ​than​ ​DNA - Proteins​ ​have​ ​20​ ​different​ ​amino​ ​acids - DNA​ w ​ as​ ​ ade​ o​ f​ j​ ​ ​ ​nucleotides Studies​ ​of​ ​bacteria​ ​and​ ​viruses​ ​caused​ ​the​ ​field​ ​of​ ​molecular​ ​biology​ ​(study​ ​of​ ​heredity​ ​at​ ​the molecular​ ​level)​ ​and​ ​revealed​ ​the​ ​role​ ​of​ ​DNA​ ​in​ ​heredity Viruses​ ​are​ ​not​ ​considered​ ​to​ ​be​ ​alive​ ​because​ ​they​ ​are​ ​not​ ​cellular​ ​and​ ​they​ ​can’t​ ​reproduce​ ​on their​ ​own - Easy​ ​to​ ​study​ ​because​ ​of​ ​their​ ​simple​ ​structures Viruses​ ​infect​ ​organisms​ b ​ y - Binding​ ​to​​ eceptors​ ​on​ ​a​ ​host’s​ arget​ ​cell - Injecting​ ​viral​ ​genetic​ ​material​ i​ nto​ ​the​ ​cell - Nad​ ​hijacking​ ​the​ ​cell’s​ ​own​ ​molecules​ ​and​ ​organelles​ ​to​ ​produce​ ​new​ ​copies​ ​of​ ​the virus - The​ ​host​ ​cell​ ​is​ ​destroyed​ ​and​ ​newly​ ​replicated​ ​viruses​ ​are​ ​released​ ​to​ ​continue​ ​the infection RNA:​ r ​ ibonucleic​ ​acid - Unlike​ ​DNA​ ​b

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##### ISBN: 9781938168079

This full solution covers the following key subjects: . This expansive textbook survival guide covers 50 chapters, and 2640 solutions. Calculus Volume 3 was written by Aimee Notetaker and is associated to the ISBN: 9781938168079. The answer to “?Consider $$\mathbf{u}=\langle a, b, c\rangle$$ a nonzero threedimensional vector. Let $$\cos \alpha, \quad \cos \beta$$, and $$\cos \gamma$$ be the directions of the cosines of u. Show that $$\cos ^{2} \alpha+\cos ^{2} \beta+\cos ^{2} \gamma=1$$.Text Transcription:u = langle a, b, c ranglecos alpha, cos betacos gammacos^2 alpha + cos^2 beta + cos^2 gamma = 1” is broken down into a number of easy to follow steps, and 55 words. This textbook survival guide was created for the textbook: Calculus Volume 3, edition: 1. Since the solution to 165 from 2.3 chapter was answered, more than 203 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 165 from chapter: 2.3 was answered by Aimee Notetaker, our top Calculus solution expert on 03/18/22, 10:36AM.

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