A community for students.
Here's the question you clicked on:
 0 viewing
richyw
 3 years ago
Show that the line of intersection of the planes\[x+2yz=2\mbox{ and } 3x+2y+2z=7\]is parallel to the line \[\langle x,y,x \rangle = \langle 1+6t,35t,24t \rangle\]
richyw
 3 years ago
Show that the line of intersection of the planes\[x+2yz=2\mbox{ and } 3x+2y+2z=7\]is parallel to the line \[\langle x,y,x \rangle = \langle 1+6t,35t,24t \rangle\]

This Question is Closed

richyw
 3 years ago
Best ResponseYou've already chosen the best response.1my attempt at a solution. First I found normal vectors to the planes. \[\vec{n}=\langle 1,2,1 \rangle\]\[\vec{m}=\langle 3,2,2\rangle\]then the cross product to get the vector parallel to that.\[\vec{n}\times \vec{m} = \langle 6, 5, 4 \rangle\]

richyw
 3 years ago
Best ResponseYou've already chosen the best response.1so wouldn't this be the direction of the line formed by the intersection of the two planes?

richyw
 3 years ago
Best ResponseYou've already chosen the best response.1so maybe what I am doing wrong is finding the direction of the second line. how would I do this? find two points on the line and then use the displacement vector?

richyw
 3 years ago
Best ResponseYou've already chosen the best response.1NICE just figured it out myself, question closed.
Ask your own question
Sign UpFind more explanations on OpenStudy
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.