Q. 1
The points p=(1,-1,1),q=(-2,-4,1) and
r=(1,-4,-2) lie on a plane ax+by+cz=d
in 3 dimensions.
(a) Compute the displacement vectors
vec(pq)=(,)vec(pr)=(,)
(b) Compute the cross product vector
vec(pq)\times vec(pr)=(,)
(c) Write down the equation of the plane
â—»x+â—»y+â—»z=
Q. 2
Write down the coordinates (p_(1),p_(2),p_(3)) of one point
on the plane 5x-5y-3z=2 in R^(3)
(p_(1),p_(2),p_(3))=[,]