What is the dot product of $< - 8, 5, 2 >$ $<-8,5,2 >$ and $< - 3, 1, 7 >$ $<-3,1,7 >$ ?

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What is the dot product of $< - 8, 5, 2 >$ $<-8,5,2 >$ and $< - 3, 1, 7 >$ $<-3,1,7 >$ ?

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Answer 1 · 2016-01-10T19:17:44

$43$ $43$

Explanation:

For any 2 vectors $A=(a_1,a_2,...,a_n) and B=(b_1,b_2,...,b_n)$ in a finite dimensional real or complex vector space X, the Euclidean inner product (dot product) is a real or complex number given by
$A*B=a_1b_1+a_2b_2+...+a_nb_n$ .

So in this particular case, we work in $X=RR^3$ and get

$(-8,5,2)*(-3,1,7)=(-8)(-3)+(5)(1)+(2)(7)$

$=24+5+14$

$=43$ $inRR$ .

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What is the dot product of $< - 8, 5, 2 >$ $<-8,5,2 >$ and $< - 3, 1, 7 >$ $<-3,1,7 >$ ?

1 Answer

Explanation:

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What is the dot product of <-8,5,2 > <−8,5,2><-8,5,2 > and <-3,1,7 > <−3,1,7><-3,1,7 > ?

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What is the dot product of $< - 8, 5, 2 >$ $<-8,5,2 >$ and $< - 3, 1, 7 >$ $<-3,1,7 >$ ?