It is given #vec u=2vec i+3vec j # and #vec v=3vec i+2vec j # .How to calculate #vec u*vecv#?

1 Answer
Mar 20, 2018

#vecu*vecv=((6),(6))=6i+6j#

Explanation:

#vecu=((2),(3))# and #vecv=((3),(2))#

The dot product is given by #veca*vecb=((a_ixxb_i),(a_jxxb_j),(vdotscolor(white)(xx)vdots))#

#vecu*vecv=((2xx3),(3xx2))=((6),(6))=6i+6j#