Question

calculate plane equation (1,0,0), (0,1,0),(0,0,1)

Answer 1

yay.... given three point we can create 2 vectors and cross product for the noral right?

Answer 2

yes. but please do it. i'm being too lazy =P

Answer 3

LOL.... happy to, i need the practice ;)

Answer 4

lets choose a starting point; (1,0,0) looks fine; and create a vector from that point another and then the other

Answer 5

cheers!

Answer 6

(1,0,0)
(0,1,0)
-------
<1,1,0> = v1

(1,0,0)
(0,0,1)
------
<1,0,1> = v2 right?

Answer 7

we cross these 2 vectors to get a normal vector to the plane:

< i, j, k>
<1,1,0>
<1,0,1>
----------

+(1-0) |
- (1-0) | = <1,1,-1> for the normal
+(0-1) |

Answer 8

just the pane eq...

Answer 9

now attach the normal to a point... once you fix my typo lol

<1,-1,-1> = n ; and P(1,0,0)

1(x-1) -1(y+0) -1(z+0) = 0

Answer 10

x-1 -y -z = 0

x-y-z-1 = 0 should satisfy it

Answer 11

i wonder if i did my point addition right...

Answer 12

thanks alot1 =)

Answer 13

was it correct?

Answer 14

i dunno =P its part of a long question.

Answer 15

well, let me dbl check me thoughts and verify my results :)

Answer 16

yes plz =)

Answer 17

it correct! thumbs up!

Answer 18

yay!! ..... i was like 84% sure :)

Answer 19

x+y+z-1=0
the normal vector shd be 1,1,1. Use intuition.
If you want to use the cross product to find the normal vector, it shd be:
(1,-1,0)×(0,1,-1)=(1,1,1).
Bear in mind that you should subtract one vector from another, NOT add them together.
The next step should be verifying your answer, in this case, try sub. (1,0,0), (0,1,0), (0,0,1) into your equation to see if it makes sense.

Answer 20

thats what my doubts were :)

I saw that in the back of my head ..

Answer 21

but i couldnt seem to get the crossproduct of the vectors; even with subtraction; to conform...

Answer 22

(1,0,0) (1,0,0)
-(0,1,0) -(0,0,1)
------- ------
<1,-1,0> <1,0,-1>


<1,-1,0>
<1,0,-1>

<1-0,-(-1-0),0-1> = <1,1,-1>

Answer 23

1(x-1) +1(y+0)-1(z+0) = 0

x + y -z -1 = 0 ....

Answer 24

(0,0,1) = -2 then

Answer 25

So the true answer is x+y+z=1
for your k component in the post 4 min ago, it should be (0)(1)-(-1)(1)=1

Answer 26

.... i forgot how to multiply lol....

Answer 27

^.^
Are you from USA?

Answer 28

I am

Answer 29

i kept breezing over that k part and needed a 2nd set of eyes to overcome my inherent stupidity :) thanx..

Answer 30

"add oil"
Guess from where I come from.

Answer 31

venezula?

Answer 32

cape fear?

Answer 33

madagascar... gotta be madagascar :)

Answer 34

no =]
it should not be hard to guess if you google "add oil"

Answer 35

its cantonese; soo... you from canton?

Answer 36

Hong kong actually

Answer 37

so add oil

Answer 38

thnx :) you too