Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
woleraymond
Group Title
Prove that the vectors u = 3i + j  2k , v = i + 3j+ 4k and w = 4i  2j  6k can form the sides of a triangle
 one year ago
 one year ago
woleraymond Group Title
Prove that the vectors u = 3i + j  2k , v = i + 3j+ 4k and w = 4i  2j  6k can form the sides of a triangle
 one year ago
 one year ago

This Question is Closed

imron07 Group TitleBest ResponseYou've already chosen the best response.1
You learn linear algebra?
 one year ago

imron07 Group TitleBest ResponseYou've already chosen the best response.1
Prove: 1) Try w+v, its equal u. Isn't that suspicious? This proves that these three vectors are side of a triangle. But wait! we don't know if they are in the same plane yet :) 2) To prove all of them are in the same plane, find determinant of the 3x3 matrix. If it is zero, then you got your answer.
 one year ago

woleraymond Group TitleBest ResponseYou've already chosen the best response.0
@imron07 the determinant of the 3 by 3 matrix is also zero...how does that make them to be in the same plane?
 one year ago

imron07 Group TitleBest ResponseYou've already chosen the best response.1
This means one of the the three vectors aren't independent (or span new dimension) from the other two. In other word, you can make one of them by combyning the other two. Say: a*v+b*w=u You can find that a=b=1. Well, the second step isn't really neccesary actually (because by guessing, you already know that v+w=u).
 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.