Răspuns:
a=2i+3j
b= -i+4j
c=mi+(m-2)j
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-2a=-2(2i+3j)= -4i-6j
3b=3(-i+4j)= -3i+12j
-2a+3b=-4i-6j-3i+12j= -7i+6j
c)lcl=√(m²+(m-2)²=2√5
ridici la patrat
m²+m²-4m+4=4*5
2m²-4m+4=20
2m²-4m+4-20=0
2m²-4m-16=0║:2
m²-2m-8=0
Δ=(-2)²-4*(-8)=
4+32=36
m1=(2-√36)/2=(2-6)/2=-4/2= -2
m2=(2+6)/2==8/2=4
m={-2,+4}
Explicație pas cu pas: