(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Letu= i-3j+2k,v=i+j, andw=2i+2j-4k. Find.

(d)||3u-5v+w||

(e)(1/||w||)*w

(f)||(1/||w||)*w||

2. Relevant equations

||V||=sqrt(v1^2+v2^2+v3^2)

3. The attempt at a solution

ok so for d i did 3(sqrt(1^2-3^2+2^2))-5sqrt(1^2+1^2)+sqrt(2^2+2^2-4^2)

and got 3sqrt(14) -5sqrt(2)+sqrt(8) but i know this is wrong because in the back of the book it says the answer is 2sqrt(37)

and for part e i tried (1/sqrt(2^2+2^2-4^2))*sqrt(2^2+2^2-4^2) and came up with 1/sqrt(32)*sqrt(32) and the back of the book says the answer is 1/sqrt(6)i + 1/sqrt(6)j - 2/sqrt(6)k.

i havent attempted part f yet. i thought it would be better to get part e straightened out first since they are similar. but could somebody point me in the right direction as to what i am doing wrong and maybe explain to me what the difference between part e and part f are. any help would be appreciated. thank you.

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# Homework Help: Calc 3 Vectors

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