1.
136.130: Test #120 minutes
Name:_____________________ Student Number: _______
1. Suppose
and 
. Find
(a)
(b)
2. Suppose
. The following questions require short justifications.
(a) Is
perpendicular to the vector 
?
Yes: 
(b) Is
parallel to the vector 
? No: is not a multiple of
(c) Is
a unit vector ?
No:
and this is not 1.
3. Find an equation of one line passing through the origin and perpendicular to the vector
.
is one. (Infinitely many)
4. Find an equation of one plane passing through the origin and parallel to the vector
.
is the simplest. (Infinitely many).