Vectors

1. 1
(MMP) Problem No.15
Let
2 3 4
2 .
Find b a
i j k
i j k
comp and comp
  
  
a
b
a b.

2. 2
Solution
. 2 3 8
1 1 4
3 3 3 3
6 3 2 2
b
comp
 
 
 
  
  
a b
a
b

3. 3
. 2 3 8
4 9 16
3
29
a
comp
a
 
 
 


a b
b
(MMP) Problem No.16
Let
3
2 6 3 .
Find b a
i j k
i j k
comp and comp
  
  
a
b
a b.
Solution
. 2 6 9
4 36 9
5 5
7
49
b
comp
 
 
 
 
a b
a
b

4. 4
. 2 6 9
1 1 9
5
11
a
comp
a
 
 
 

a b
b
(MMP) Problem No.17
2
Let
3
2 6 3 .
Find a
b
i j k
i j k
comp ( ) and
comp ( + ).
  
  
a
b
b - a
a b
Solution

5. 5
( ).
( 7 ).( 3 )
1 1 9
1 7 6
11 11
a
a
comp ( )
i j i j k


  

 
 
 
b a
b - a
a
2
( ).2
2
(3 5 6 ).(4 12 6 )
16 144 36
12 60 36 108 54
14 7
196
b
comp ( + )=
i j k i j k

   

 
 
  
a b b
a b
b