Question

What is the equation of the plane in picture?

Answer 1

@Aishalicious1

Answer 2

@hartnn

Answer 3

@Astrophysics

Answer 4

@Tennis5518

Answer 5

So, anyone know???????

Answer 6

Are you familiar with the cross product of vectors?

Answer 7

no

Answer 8

humm... ok, thinking

Answer 9

Could set up three equations with the three points you have.

Answer 10

\[a(x-x_0)+b(y-y_0)+c(z-z_0)=0\\
a(x-x_1)+b(y-y_1)+c(z-z_1)=0\\
a(x-x_2)+b(y-y_2)+c(z-z_2)=0\]
and solve for a,b,c

Answer 11

Cool but I don't even know how to read the point in the graph. It's so confusing.. @_@

Answer 12

the points are on the axis, so you can just count out, e.g. one point is at (z,y,x)=(4,0,0)

Answer 13

okay here is what I think the other points are:
y(4,0,0) and z(5,0,0)

Answer 14

Is that correct?

Answer 15

I choose the normal the x,y,z order... so (4,0,0),(0,4,0),(0,0,5)

Answer 16

Maybe try the simplified problem of finding the line through (4,0) and (0,4) first?

Answer 17

So.. \[(y-0)=m(x-4)\\(y-4)=m(x-0)\]

Answer 18

\[\frac{ x }{ 4 }+\frac{ y }{ 4 }+\frac{ z }{ 5 }=1~or~5x+5y+4z=20~or~5x+5y+4z-20=0\]