1. 136.130: Test #1

20 minutes

Name:_____________________ Student Number: _______

 

1. Suppose and . Find

(a)

 

 

(b) 

 

(c) 

 

 

 

 

 

 

 

 

 

 

 

2. Suppose

(a) Find the unit vector in the direction of .

. So the unit vector in the direction of is .

 

 

 

(b) Find one vector which is perpendicular to .

We just need one vector such that =0. Here is one: =(4,1,0).

 

 

 

    1. True or false? No need to justify your answer.
    1. For all vectors , and in , we have .

      2. TRUE

    2. For all vectors and in , we have .

      3. TRUE

    3. For all vectors and in , and are colinear.

      4. TRUE

    4. For all vectors , and in , we have .

      5. FALSE

    5. For all vectors , and in ,
.

TRUE