How do you find the inner product and state whether the vectors are perpendicular given $<-3,2>*<4,6>$ ?

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Answer 1 · 2017-04-11T09:52:40

$0$

and perpendicular

For two vectors

$< a_1,b_1> "< a_2,b_2>$

the inner product is calculated by:

$< a_1,b_1> . < a_2,b_2> =a_1a_2+b_1b_2$

$< -3,2> . < 4,6> = -3xx4+2xx6$

$=-12+12=0$

since the inner product is zero the vectors are perpendicular

How do you find the inner product and state whether the vectors are perpendicular given <-3,2>*<4,6><-3,2>*<4,6>?