Given the vectors #u=<2,2>#, #v=<-3,4>#, and #w=<1,-2>#, how do you find #3u*v#?

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Answer 1 · 2016-09-18T19:46:22

#6#

We have: #u = <2, 2># and #<- 3, 4>#

#=> 3 u cdot v = 3 <2, 2> cdot <- 3, 4>#

#=> 3 u cdot v = <6, 6> cdot <- 3, 4>#

#=> 3 u cdot v = (6 cdot (- 3)) + (6 cdot 4)#

#=> 3 u cdot v = - 18 + 24#

#=> 3 u cdot v = 6#