If #A= <4, 3 ,-1 ># and #B= <9 ,7 ,6 >#, what is #A*B -||A|| ||B||#?

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If #A= <4, 3 ,-1 ># and #B= <9 ,7 ,6 >#, what is #A*B -||A|| ||B||#?

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Answer 1 · 2016-11-08T18:57:21

#51-2root2(1079)#

Explanation:

The scalar product is #(4,3,-1)*(9,7,6)=4*9+3*7-1*6=51#
The lengths of A and B are
#A=root2(4^2+3^2+(-1)^2)=root2(26)#
#B=root2(9^2+7^2+6^2)=root2(166)#

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If #A= <4, 3 ,-1 ># and #B= <9 ,7 ,6 >#, what is #A*B -||A|| ||B||#?

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