Excercise 4-2.
Given the same three points from the last exercise (
, 
, and 
), determine two vectors in the plane and cross these vectors to find the standard equation for a plane.
, , and ), determine two vectors in the plane and cross these vectors to find the standard equation for a plane. 
and 
as shown below, by vector subtraction we know that 
is a vector with its head at 
and tail at 
.
and 
to cross, but the same result is obtained if one crosses 
with either of these vectors as well.
. 
is found by plugging in any of the given points in a plane.
.