What is the dot product of $<-6,1,0>$ and $<2,7,5 >$ ?

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What is the dot product of $<-6,1,0>$ and $<2,7,5 >$ ?

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Answer 1 · 2016-02-03T14:07:17

$-5$

Explanation:

To find the dot product of two column matrices ${a_1,b_1,c_1}$ and ${a_2,b_2,c_2}$ you multiply the equivalent components together as
$a*b = (a_1a_2+b_1b_2 + c_1c_2)$

$<-6,1,0> * <2,7,5> = ((-6*2)+1*7+0*5)$

$=-12+7 = -5$

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What is the dot product of $<-6,1,0>$ and $<2,7,5 >$ ?

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What is the dot product of <-6,1,0><-6,1,0> and <2,7,5 > <2,7,5 > ?

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What is the dot product of $<-6,1,0>$ and $<2,7,5 >$ ?