Question

line: 7x-3y+5z=-20

Answer 1

what about it?

Answer 2

I need to find the point where the given lines intersect the given plane
but this is the plane 7x-3y+5z=-20

Answer 3

Where is the line?

Answer 4

the line is (3+2/3d)i + (4+2/3d)j +(3-1/3d)k

Answer 5

can u help me :)

Answer 6

?

Answer 7

i guess not :/

Answer 8

idk, i will try though

Answer 9

thanks

Answer 10

what equation is that called? (3+2/3d)i + (4+2/3d)j +(3-1/3d)k

Answer 11

the line R as vector

Answer 12

I'll send you a pic

Answer 13

did you see it

Answer 14

oh ok

Answer 15

i am guessing (3+2/3d)i + (4+2/3d)j +(3-1/3d)k is the same thing as
vector r = (3,4,3) + d(2/3,2/3,-1/3)?

Answer 16

i dont know :// I'll what u say

Answer 17

vector r = (3,4,3) + d(2/3,2/3,-1/3) can be simplified to vector r = (3,4,3) + d(2,2,-1)

The standard form of a line is given by Ax + By +Cz +D = 0

where A, B, C is the normal of the line.

What is the normal of (2,2-1) though? Is it the cross product of the point (3,4,3) x (2,2-1)?

Answer 18

thats it? omg thanks

Answer 19

am i right?

Answer 20

im not sure i have to check the answer

Answer 21

i am guess you can convert the equation of the line given into standard form

if the normal's of the two systems of equations are parallel, then you will have the line and plane to be parallel and distinct or coincidental.

else, if the normals are different, then use elimination to solve for the parametric equation of the line of intersection

I will do it and see what answer i get.

Answer 22

thank you u are the best !!

Answer 23

Actually, nvm what i said

convert the equation of the line into parametric form (x,y,z) and then plug in each of the parametric equations into the plane equation and solve for d, once d is solved, plug d into each of the parametric equations to solve for the point of intersection (if they do intersect)

Answer 24

ok I know you dont know me but I seriously have to do like 7 of this can u gve me the answer so I can take it as example for the others plese please please !!! :)

Answer 25

lol, srry but i lost internet connection. :/

well, the answer i got is (x,y,z) = -43/7, -36/7,53/7)

Answer 26

oh thanks !! so much !

Answer 27

god bless you

Answer 28

Your welcome.

Answer 29

please ignore my profile pic my sister... !! hahaha thank you and my name is Tania btw

Answer 30

Nice to me meet you Tania, my real name is Xihai :P

Answer 31

Are you new to os?

Answer 32

Well hello Xihai :) your name is not commom where are u from !!?

Answer 33

guess? :D

Answer 34

just joined like 30 minutes ago

Answer 35

wow, lol!

WELCOME TO OPEN STUDY!!

Answer 36

i dont want to be rude or souund racist but are u chinese?

Answer 37

Yes I am :D You are?

Answer 38

oh Thanks ! how long have u been here

Answer 39

I live in Boston

Answer 40

u mean on os?

Oh nice, i live up north

Answer 41

yes in os !

Answer 42

i signed up like 1 month ago? lol, i forgot.

Answer 43

oh ! nice to meet i hope we can talk some day um I gotta go I have lot of hmework ://

Answer 44

bye Tank u soo so so much !!

Answer 45

Ok, bye and ur welcome !