MATH 3251, Midterm 1, Fall 1996
October 17, 1996.
50 points are divided between 4 problems (one page).
No books, no notes. Calculators are permitted.
1 (10 points). Find 
,
and 
, where
2. Let 
be given.
(a) (5 points). Compute the distances 
, and 
.
(b) (6 points). Find the area of triangle 
.
(c) (5 points). Find the distance from A to the line passing through B and C.
3 (8 points). Find a linear equation 
of the plane
passing through the points 
, 
.
(4 points) Find the distance from D(5,-1,2) to this plane.
4 (12 points). Find symmetric equations
of the line of intersection of the planes
