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Answer 1 · 2016-10-04T17:39:11

# 2vecU-3vecV=(7,-21).#

We have to use the following Defn. of Multiplication of a Vector by

a Scalar :

#"Defn. : Let vector "vecu=(u_1,u_2)" and let "k in RR.# Then,

Multiplication of #vecu# by (scalar) #k,# denoted by, #kvecu,# is,

defined as, #kvecu=k(u_1,u_2)=(ku_1,ku_2).#

I hope that Vector Addition / Subtraction is known.

So, with vectors #vecU=(2,-3) and vecV=(-1,5),# we have,

#2vecU-3vecV=2(2,-3)-3(-1,5)=(4,-6)-(-3,15)#

#=(4+3,-6-15)#

#:. 2vecU-3vecV=(7,-21).#