The points p=(4,4,3),q=(-2,1,5) and r=(2,2,5) lie on a plane ax+by+cz=d in 3 dimensions
(a) Compute the displacement vectors
(b) Compute the cross product vector
vec(pq) imes vec(pr)=(â—»)
(c) Write down a normal vector vec(n) of the plane
vec(n)=(â—»)
(d) Write down the equation of the plane
x+
y+
z=
The pointsp=4,4,3q=-21,5andr=2,2,5lieonaplaneax+by+cz=d in3dimensions
aCompute the displacement vectors
(b)Compute the cross product vector
td x bd
(c write down a normal vector ri of the plane
(a Write down the equation of the plane