MVC
SHOW ALL WORK !!
Sample Quiz
NAME:
#1.(5 pt's) Let x = (10, -2, a) and y = (a  3, -4, 2).
a. Find all values of a such that x and y orthogonal.
b. Find all values of a such that x and y parallel.
#2(4 pts) Let u = (3, 4, –1) and v = (–5, 2, 1). Compute the angle between u and v to the nearest
tenth of a degree. Calculate projv u.
MVC
 x  6  4t
 x  2t


#3(4 pts) Do the lines given by the equations  y  3  2t and  y  2
intersect?
 z  1  4t
 z  3t


If so, at what point do they intersect?
#4(4 pt’s) Prove that for u, v 
MVC
2
: u v 
1
4
u  v
2

1
4
u  v
2
#5(5 pt's) a. Find parametric and symmetric equations for the line through (1,0,2) and (1,3, 2) .
b. Find parametric equations of the line segment from (1,0,2) to (1,3, 2) .
MVC