question archive Vector Cross Product Let vectors A? =(1,0,−3), B? =(−2,5,1), and C? =(3,1,1)

Vector Cross Product Let vectors A? =(1,0,−3), B? =(−2,5,1), and C? =(3,1,1)

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Vector Cross Product

Let vectors A? =(1,0,−3), B? =(−2,5,1), and C? =(3,1,1).
Calculate the following, expressing your answers as ordered triples (three comma-separated numbers).

Part C

 
   
(2B? )×(3C? ) =  

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Part D

 
   
A? ×(B? ×C? ) =  

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Part E

 
   
A? ⋅(B? ×C? ) =  

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V? 1 and V? 2 are different vectors with lengths V1 and V2 respectively. Find the following, expressing your answers in terms of given quantities.

Part F

If V? 1 and V? 2 are perpendicular,

 
   
|V? 1×V? 2| =  

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Part G

If V? 1 and V? 2 are parallel,

 
   
|V? 1×V? 2| =

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