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
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.
 one year ago
 one year ago
Calcmathlete Group Title
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.
 one year ago
 one year ago

This Question is Closed

LockeMcDonnell Group TitleBest ResponseYou've already chosen the best response.0
holy good luck with that!
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.0
_, thanks lol
 one year ago

hieuvo Group TitleBest ResponseYou've already chosen the best response.1
you know that: x=6+7/9d, y=3+4/9d, and z=24/9d ?
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.0
Yes. I actually think I might have an answer since I asked this yesterday. Could you check it?
 one year ago

ScottB05 Group TitleBest ResponseYou've already chosen the best response.0
I sence De Moivre's Theorum comming on here =)
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.0
d = 54/11, so (24/11, 9/11, 46/11) Is this right?
 one year ago

ScottB05 Group TitleBest ResponseYou've already chosen the best response.0
In your question you've mentioned i..... Is that i as in i, or i as in the Square root of 1???
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.0
i as in unit vector \(\vec{i}\)
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.0
How so?
 one year ago

ScottB05 Group TitleBest ResponseYou've already chosen the best response.0
Of course. Thank you :)
 one year ago

hieuvo Group TitleBest ResponseYou've already chosen the best response.1
that 7/9 or what, cant see the problem clearly
 one year ago

hieuvo Group TitleBest ResponseYou've already chosen the best response.1
maybe I'm wrong in sth
 one year ago

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

hieuvo Group TitleBest ResponseYou've already chosen the best response.1
lol, that's right, sr
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.0
lol ok, thanks :)
 one year ago

hieuvo Group TitleBest ResponseYou've already chosen the best response.1
So just plug in to find coordinate. Is this cal 3?
 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.