vector{c}= α *vector{a}+ β *vector{b}= α *2*vector{i}+ β *(3*vector{i}+3*vector{j})= =(2 α +3 β )*vector{i}+3 β *vector{j} vector{c}=(2 α +3 β )*vector{i}+3 β *vector{j} и vector{c}=2*vector{i}+6*vector{j} {2 α +3 β =2 {3 β =6 ⇒ β =2 2 α +3*2=2 α =-2 О т в е т. vector{c}= -2 *vector{a}+ 2 *vector{b}