Let vectors A⃗ =(1,0,−3), B⃗ =(−2,5,1), and C⃗ =(3,1,1). Calculate the following, expressing your answers as o?

Part A

B⃗ ×C⃗ =

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Part B

C⃗ ×B⃗ =

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Part C

(2B⃗ )×(3C⃗ ) =

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Part D

A⃗ ×(B⃗ ×C⃗ ) =

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Part E

A⃗ ⋅(B⃗ ×C⃗ ) =

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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.

Part F

If V⃗ 1 and V⃗ 2 are perpendicular,

|V⃗ 1×V⃗ 2| =

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Part G

If V⃗ 1 and V⃗ 2 are parallel,

|V⃗ 1×V⃗ 2| =

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