Coordinates 32183

The triangle ABC is given in the plane. A (-3,5), B (2,3), C (-1, -2) write the coordinates of the vectors u, v, w if u = AB, v = AC, w = BC. Enter the coordinates of the centers of the lines SAB (..), SAC (...), SBC (. ..)

Correct answer:

u0 =  5
u1 =  -2
v0 =  2
v1 =  -7
w0 =  -3
w1 =  -5
x0 =  -0.5
y0 =  4
x1 =  -2
y1 =  1.5
x2 =  0.5
y2 =  0.5

Step-by-step explanation:

A0=3;A1=5 B0=2;B1=3 C0=1;C1=2  u=(u0,u1)=AB=BA  u0=B0A0=2(3)=5
u1=B1A1=35=2
v=(v0,v1)=AC=CA  v0=C0A0=(1)(3)=2
v1=C1A1=(2)5=7
w=(w0,w1)=BC=CB  w0=C0B0=(1)2=3
w1=C1B1=(2)3=5
S0=(x0,y0)=AB/2  x0=(A0+B0)/2=((3)+2)/2=0.5
y0=(A1+B1)/2=(5+3)/2=4
S1=(x1,y1)=AC/2  x1=(A0+C0)/2=((3)+(1))/2=2
y1=(A1+C1)/2=(5+(2))/2=1.5
S2=(x2,y2)=BC/2  x2=(B0+C0)/2=(2+(1))/2=0.5
y2=(B1+C1)/2=(3+(2))/2=0.5



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