Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Calcmathlete
Group Title
Given \(\vec{g} = 3\vec{i} + 6\vec{j}  12\vec{k}\) and \(\vec{h} = 5\vec{i}  10\vec{j} + 20\vec{k}\), how could I prove that \(\vec{g}\) and \(\vec{h}\) are parallel? Please explain the reasoning.
 one year ago
 one year ago
Calcmathlete Group Title
Given \(\vec{g} = 3\vec{i} + 6\vec{j}  12\vec{k}\) and \(\vec{h} = 5\vec{i}  10\vec{j} + 20\vec{k}\), how could I prove that \(\vec{g}\) and \(\vec{h}\) are parallel? Please explain the reasoning.
 one year ago
 one year ago

This Question is Closed

myko Group TitleBest ResponseYou've already chosen the best response.1
take their vector product, or prove they are multiple of each other
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.0
Well does a vector product of 0 allow me to conclude that they are parallel?
 one year ago

myko Group TitleBest ResponseYou've already chosen the best response.1
g x h=ghsin(theta) where theta is angle between them. It will be = 0 only if angle is 0º or 180º
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.0
Ok, just clarifying, is it because using the formal definition of the magnitude of a vector product, if \(\theta\) = 0º or 180º, it would cause the entire thing to become 0, and therefore parallel since an angle of 0º or 180º would be the same line or parallel?
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.0
Oh, never mind, thank you!
 one year ago

myko Group TitleBest ResponseYou've already chosen the best response.1
more easy: 5/3(3i+6j12h)=5i10j+20k
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.0
Ok. that is the reason the book gave me, so I'm curious as to why that works...I don't see where 5/3 comes from.
 one year ago

myko Group TitleBest ResponseYou've already chosen the best response.1
to make 3 equal to 5
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.0
Oh. so you're multiplying \(\vec{g}\) by 5/3 to make it equal \(\vec{h}\)?
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.0
ok, once again, thank you :)
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.