hi! this is the problem included in a math contest of my brother. could you please help me with this one.

Given coordinates A(-5,2) and B(5,7) and Ax/xB = 2/3, find the coordinates of x.

galactus

Set up a small system of equations.

A=(-5,2)
B=(5,7)

[-5,2]*[x,y]=2
[5,7]*[x,y]=3

Can you continue?.

sohini1985

[-5,2]*[x,y]=2
[5,7]*[x,y]=3

solve like this

galactus

Yes, I got x=-8/45 and y=5/9.

Using the dot product.

[-5,2]*[-8/45,5/9]=2
[5,7]*[-8/45,5/9]=3