A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
Find the equation of a plane that contains the lines (x  1)/6= y/8= (z + 2)/2 and (x + 1)/3= (y  2)/4= z+ 5.
anonymous
 5 years ago
Find the equation of a plane that contains the lines (x  1)/6= y/8= (z + 2)/2 and (x + 1)/3= (y  2)/4= z+ 5.

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\frac{x1}{6}=\frac{y}{8}=\frac{z+2}{2}\] and \[\frac{x+1}{3}=\frac{y2}{4}=z+5\] just to make it easier to look at

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the direction vector of the first line call it \[\vec{v}=(6,8,2)\] and the corresponding direction vector of the second line call it \[\vec{u}=(3,4,1)\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Now calculate the crossproduct \[\vec{v}\times\vec{u}\] and to make calculations a little easier note the scalar value 2 is common to the components of \[\vec{v}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0on closer inspection those lines are parallel

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so form a vector from a point on the first line to a point on the second, the cross that vector with either of the direction vectors, that vector will be the normal vector for the plane that contains both lines, then just plug the components of your new vector , and a point from either line, into the standard equation for a plan and there you have it
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.