Question Solved1 Answer Let vectors A⃗ =(1,0,−3), B⃗ =(−2,5,1), and C⃗ =(3,1,1). Calculate the following, expressing your answers as ordered triples (three comma-separated numbers). A.)B⃗ ×C⃗ B.)C⃗ ×B⃗ C.)(2B⃗ )×(3C⃗ ) D.) A⃗ ×(B⃗ ×C⃗ ) E.)A⃗ ⋅(B⃗ ×C⃗ ) V⃗ 1 and V⃗ 2 are different vectors with lengths

MXLCEV The Asker · Physics

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

A.)B⃗ ×C⃗ 

B.)C⃗ ×B⃗  

C.)(2B⃗ )×(3C⃗ )

D.) A⃗ ×(B⃗ ×C⃗ )

E.)A⃗ ⋅(B⃗ ×C⃗ )

 

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

F.) If V⃗ 1 and V⃗ 2 are perpendicular

G.) If V⃗ 1 and V⃗ 2 are parallel,

 
   
 
   
 
Transcribed Image Text: Let vectors A⃗ =(1,0,−3), B⃗ =(−2,5,1), and C⃗ =(3,1,1). Calculate the following, expressing your answers as ordered triples (three comma-separated numbers). A.)B⃗ ×C⃗ B.)C⃗ ×B⃗ C.)(2B⃗ )×(3C⃗ ) D.) A⃗ ×(B⃗ ×C⃗ ) E.)A⃗ ⋅(B⃗ ×C⃗ ) V⃗ 1 and V⃗ 2 are different vectors with lengths
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Transcribed Image Text: Let vectors A⃗ =(1,0,−3), B⃗ =(−2,5,1), and C⃗ =(3,1,1). Calculate the following, expressing your answers as ordered triples (three comma-separated numbers). A.)B⃗ ×C⃗ B.)C⃗ ×B⃗ C.)(2B⃗ )×(3C⃗ ) D.) A⃗ ×(B⃗ ×C⃗ ) E.)A⃗ ⋅(B⃗ ×C⃗ ) V⃗ 1 and V⃗ 2 are different vectors with lengths
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bar(A)=i-3j, bar(B)=-2i+5j+k; bar(c)=3i+j+ka) {:[ bar(B)xx bar(c)=(-2i+5j+k)xx(3i+j+k)],[=4i+5j-17 k]:} =4i+5j-17 k.b) bar(C)xx bar(B)=(3i+j+k)xx(-2i+5j+k) -4i-5j+17 k.c) 2 bar(B)xx3 bar(c)=(-4i+10 j+2k)xx(9i+3j+3k)=24 i+30 j-102 kd) bar(A)xx( bar(B)xx bar(C) ... See the full answer