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Answer 1 · 2016-10-04T17:39:11

$2 \to U - 3 \to V = (7, - 21) .$ $2vecU-3vecV=(7,-21).$

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,

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

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

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