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 ) = F) |V⃗ 1×V⃗ 2| = G) |V⃗ 1×V⃗ 2| = Please show all work.

SFA3FD 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 ) =

F) |V⃗ 1×V⃗ 2| =

G) |V⃗ 1×V⃗ 2| =

Please show all work.

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 ) = F) |V⃗ 1×V⃗ 2| = G) |V⃗ 1×V⃗ 2| = Please show all work.
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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 ) = F) |V⃗ 1×V⃗ 2| = G) |V⃗ 1×V⃗ 2| = Please show all work.
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A){:[ vec(B)xx vec(C)=|[ hat(i), hat(j), hat(k)],[-2,5,1],[3,1,1]|],[= hat(i)(5-1)- hat(j)(-2-3)+ hat(k)(-2-15)],[=4 hat(i)+5 hat(j)-17 hat(k)]:}B){:[ vec(C)xx vec(B)=-( vec(B)xx vec(C))],[=-(4 hat(i)+5 hat(j)-17 hat(k))],[=-4 hat(i)-5 hat(j)+17 hat(k)]:}C){:[2 vec(B)=2(-2","5","1)=(-4","10","2)],[{:[3 vec(C)=3(3","1","1)=(9 ... See the full answer