What is || <-9, 3, 3 > - < 9, -2, 1 > ||||<−9,3,3>−<9,−2,1>||?
1 Answer
Apr 4, 2017
sqrt(353) √353
Explanation:
|| <<-9, 3, 3 >> - << 9, -2, 1 >> || ||⟨−9,3,3⟩−⟨9,−2,1⟩||
" " = || <<-9-9, 3-(-2), 3-1 >> || =||⟨−9−9,3−(−2),3−1⟩||
" " = || <<-18, 5, 2 >> || =||⟨−18,5,2⟩||
" " = sqrt(<<-18, 5, 2 >> * <<-18, 5, 2 >>) =√⟨−18,5,2⟩⋅⟨−18,5,2⟩
" " = sqrt(-18^2+5^2+2^2) =√−182+52+22
" " = sqrt(324+25+4) =√324+25+4
" " = sqrt(353) =√353
