Plane Equations Assignment
Find the scalar equations of the following planes;
1. The plane passing through the point
(5, 2, -3)
and having the normal vector
[-2, 4, 5]
General formula of a plane:
A
X
+ B
Y
+ C
Z
+ D = 0
Substitute the components of the normal vector.

Find the D value by substituting the coordinates of the given point into equation
:

2. The plane passing through the points
(2, -1, 8)
,
(5, 0, 4)
, and
(-3, 2, 5)
.
We will identify (2,-1,8) as A, (5,0,4) as B, and (-3,2,5) as C.
To find the scalar equation, you need a normal vector and a point passing through the plane.

2. Find the cross product of AB and AC.