If A=<8,−5,−5> and B=<5,4,−9>, what is A⋅B−||A||||B||?

1 Answer
Narad T.
Nov 5, 2016

The answer is =65−√114⋅√122

Explanation:

The dot product is →A.→B=⟨8,−5,−5⟩.⟨5,4,−9⟩
=40−20+45=65
The modulus of →A is ∥∥∥→A∥=√64+25+25=√114

The modulus of →B is ∥∥∥→B∥=√25+16+81=√122

And finally, we have →A.→B−∥→A∥⋅∥→B∥=65−√114⋅√122

Related questions
See all questions in Vectors
Impact of this question
1451 views around the world
You can reuse this answer
Creative Commons License