If A=<−2,3,−4> and B=<−3,4,8>, what is A⋅B−||A||||B||?

1 Answer
ali ergin
Mar 8, 2016

A⋅B−||A||⋅||B||=−63,92

Explanation:

||A||=√(−2)2+32+(−4)2 ||A||=√4+9+16
||A||=√29
||B||=√(−3)2+42+82 ||B||=√9+16+64
||B||=√89
A.B=(−2⋅−3)+(3⋅4)+(−4⋅8)
A⋅B=6+12−32 A⋅B=−14
A⋅B−||A||⋅||B||=−14−√29⋅√89
A⋅B−||A||⋅||B||=−14−√28⋅89
A⋅B−||A||⋅||B||=−14−49,92
A⋅B−||A||⋅||B||=−63,92

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