question archive Let vectors A? =(2,1,−4), B? =(−3,0,1), and C? =(−1,−1,2)

Let vectors A? =(2,1,−4), B? =(−3,0,1), and C? =(−1,−1,2)

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Let vectors A? =(2,1,−4), B? =(−3,0,1), and C? =(−1,−1,2).
Calculate the following:

Part A

 
   
A? ⋅B?  =

Part E

Which of the following can be computed?

Which of the following can be computed?

  A? ⋅B? ⋅C?  
  A? ⋅(B? ⋅C? )
  A? ⋅(B? +C? )
 

3⋅A?

V? 1 and V? 2 are different vectors with lengths V1 and V2 respectively. Find the following:

Part F

Express your answer in terms of V1

 
   

V? 1⋅V? 1 =

Part G

If V? 1 and V? 2 are perpendicular,

 
   
 
 

V? 1⋅V? 2 =

Part H

If V? 1 and V? 2 are parallel,

Express your answer in terms of V1 and V2.

 
   
V? 1⋅V? 2 =

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