What is the dot product of #<-6,4,2 > # and #<7,1,0 > #?

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Answer 1 · 2018-04-20T12:38:17

The dot product is #=-38#

The dot product of #2# vectors

#veca= < a,b, c> #

and

#vecb= < d,e, f> #

is

#veca . vecb =< a,b, c> . < d,e, f>#

#=(axxd)+(bxxe)+(cxxf)#

So,

The dot product is

#=<-6, 4, 2> . <7,1,0>#

#=(-6xx7)+(4xx1)+(2xx0)#

#=-42+4+0#

#=-38#