chapter6 4 by dOKeRm1

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									Find ||u||.
1. u  1, 2
2. u  4i  3 j
The points A and B lie on the circle x  y  4.
                                      2   2




Find the component form of the vector AB.
3. A  (1, 3), B  (2,0)
4. A  (1, 3), B  (2,0)
5. Find a vector u with the given magnitude in the
direction of v. ||u||  3, v  2, 4
Find ||u||.
1. u  1, 2     5
2. u  4i  3 j 5
The points A and B lie on the circle x  y  4.
                                         2    2




Find the component form of the vector AB.
3. A  (1, 3), B  (2, 0)     1,  3

4. A  ( 1, 3), B  (2, 0)    3,  3
5. Find a vector u with the given magnitude in the
direction of v. ||u||  3, v  2, 4    1.34, 2.68
The dot product or inner product of u  u , u
                                          1     2
                                                    and
v  v ,v
     1   2
             is u  v  u v  u v .
                        1   1   2   2
Find the dot product.
4,3  1, 2
Find the dot product.
4,3  1, 2



 4,3  1, 2  (4)(1)  (3)(2)  10
If  is the angle between the nonzero vectors u and v , then
        uv                     uv 
cos           and      cos 
                               -1
                                       
       |u| v                    |u| v 
                                      
Find the angle between the vectors u  3, 2 and v  1,0 .
Find the angle between the vectors u  3, 2 and v  1,0 .

                              uv   
                   cos 1
                                     
                              u v   
                                    
                              3, 2  1,0 
                   cos -1
                                          
                              3, 2 1,0 
                                         
                                      
                                 3
                    cos -1
                                       
                          
                               
                                13 1 
                                       
                    33.7
If u and v are nonzero vectors, the projection of u onto
               uv 
v is proj u        v.
               v 
         v         2


                   
If F is a constant force whose direction is the same as
the direction of AB, then the work W done by F in
moving an object from A to B is W || F |||| AB ||

								
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