How do you find the inner product and state whether the vectors are perpendicular given $<3,4>*<2,5>$ ?

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Answer 1 · 2016-12-05T14:37:26

The inner product $=26$

Let $veca=〈a,b〉$

and $vecb=〈c,d〉$

Then, the inner (dot) product is

$veca.vecb=〈a,b〉.〈c,d〉=(ac+bd)$

$〈3,4〉.〈2,5〉=(3*2+4*5)=6+2.=26$

For the vectors to be perpendicular, the inner product $=0$

How do you find the inner product and state whether the vectors are perpendicular given <3,4>*<2,5><3,4>*<2,5>?