What is the dot product of $<1,-4,5 >$ and $<-5,7,3 >$ ?

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What is the dot product of $<1,-4,5 >$ and $<-5,7,3 >$ ?

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Answer 1 · 2016-03-08T07:00:41

$vec a*vec b=-18$

Explanation:

$vec a-> [a,b,c]" "vec b-> [d,e,f]$
$"dot product of the vector a and b is given as :"$
$a*b=a*d+b*e+c*f$
$"thus;"$
$vec a*vec b=1*(-5)+(-4)*7+5*3$
$vec a*vec b=-5-28+15$
$vec a*vec b=-18$

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What is the dot product of $<1,-4,5 >$ and $<-5,7,3 >$ ?

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What is the dot product of <1,-4,5 ><1,-4,5 > and <-5,7,3 ><-5,7,3 >?

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What is the dot product of $<1,-4,5 >$ and $<-5,7,3 >$ ?