A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
Find the coordinates of the point where the vector line \(\vec{r} = (6 + \frac{7}{9}d)\vec{i} + (3 + \frac{4}{9}d)\vec{j} + (2  \frac{4}{9}d)\vec{k}\) intersects the plane 3x  7y + z = 5. I'd like an explanation or better yet, a guide through it rather than just a plain answer.
anonymous
 3 years ago
Find the coordinates of the point where the vector line \(\vec{r} = (6 + \frac{7}{9}d)\vec{i} + (3 + \frac{4}{9}d)\vec{j} + (2  \frac{4}{9}d)\vec{k}\) intersects the plane 3x  7y + z = 5. I'd like an explanation or better yet, a guide through it rather than just a plain answer.

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0holy good luck with that!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0you know that: x=6+7/9d, y=3+4/9d, and z=24/9d ?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Yes. I actually think I might have an answer since I asked this yesterday. Could you check it?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I sence De Moivre's Theorum comming on here =)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0d = 54/11, so (24/11, 9/11, 46/11) Is this right?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0In your question you've mentioned i..... Is that i as in i, or i as in the Square root of 1???

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i as in unit vector \(\vec{i}\)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Of course. Thank you :)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0that 7/9 or what, cant see the problem clearly

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0maybe I'm wrong in sth

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Here's my work if it helps... \[\vec{r} = (6 + \frac{7}{9}d)\vec{i} + (3 + \frac{4}{9}d)\vec{j} + (2  \frac{4}{9}d)\vec{k}\]\[3(6 + \frac79d)  7(3 + \frac49d) + (2  \frac49d) = 5\]\[18 + \frac{21}{9}d  21  \frac{28}{9}d + 2  \frac49d = 5\]\[\frac{11}9d = 6\]\[d = 6 \times \frac9{11}\]\[d = \frac{54}{11}\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0lol, that's right, sr

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0So just plug in to find coordinate. Is this cal 3?
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.