# Math Help - URGENT VECTOER EQUATION HELP

1. ## URGENT VECTOER EQUATION HELP

1. Compute a Cartesian equation for the plane through the points (1, 2,3), (2, 5, 7) and (1, 1, 3).

2. Adapt the method used in (i), to compute a Cartesian equation for the plane through (1,3, 1) and parallel to the plane through (2,2, 3), (4, 1,1) and (1, 1,1).

can some 1 help me with these two question. ASAP!!

2. Originally Posted by bob_smith
1. Compute a Cartesian equation for the plane through the points (1, 2,3), (2, 5, 7) and (1, 1, 3).

2. Adapt the method used in (i), to compute a Cartesian equation for the plane through (1,3, 1) and parallel to the plane through (2,2, 3), (4, 1,1) and (1, 1,1).

can some 1 help me with these two question. ASAP!!

(Accidental) double post.

3. Originally Posted by mr fantastic
(Accidental) double post.

4. 1) First find a normal vector to the plane.

$(2,5,7)\times(1,2,3)=(1,1,-1)$

So the plane will take the form.

$x+y-z=c \mbox{ for some }c$

Sub in the other point $(-1,1,3)$ to find $c$.

2) Apply similar argument.