Given a cross product: vec(u) xx vec(v) =(:−1,1,−3:) I'm trying to find: (vec(u) −3 vec(v)) xx (vec(u)+2 vec(v)) as a vector.

malaana5k 2022-09-14 Answered
Given a cross product:
u × v = 1 , 1 , 3
I'm trying to find:
( u 3 v ) × ( u + 2 v ) as a vector.
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Answers (1)

Firetto8w
Answered 2022-09-15 Author has 8 answers
Let me start if off for you:
( u 3 v ) × ( u + 2 v ) = ( u 3 v ) × u + ( u 3 v ) × ( 2 v ) = ( u 3 v ) × u + 2 ( ( u 3 v ) × v )
In the first line, I used the second rule you wrote, and in the second, I used the first rule you wrote.
Now, continue doing that, and use two extra rules:
( a + b ) × c = something
a × a = something.

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