Trapezium vectors q (1 Viewer)

[Bingxilin John Xena]

I'm stumped

 

[liamkk112]

View attachment 43009
I'm stumped

OB = OC + λOA
AC = -OA + OC so OA = OC - AC
so OB = OC(λ+1) -λAC

we also know that
AC = AB + BC = OB - OA + uOA
so AC = OB + (u-1)OA
so OB = OC(λ+1) -λOB -λ(u-1)OA
by equating coefficients we see that λ=-1, u=1
which means that AC=OB

i might’ve made a mistake soz i just woke up and im writing on phone lol

 

[Bingxilin John Xena]

OB = OC + λOA
AC = -OA + OC so OA = OC - AC
so OB = OC(λ+1) -λAC

we also know that
AC = AB + BC = OB - OA + uOA
so AC = OB + (u-1)OA
so OB = OC(λ+1) -λOB -λ(u-1)OA
by equating coefficients we see that λ=-1, u=1
which means that AC=OB

i might’ve made a mistake soz i just woke up and im writing on phone lol

ty ty. looking fresh