Hi,

Question

3D GEOMETRY

(P) a surface. (AB), (AC), (BC) lines that intercept the surface in three points M1, M2, M3.

We have
Vector(M1A) = k1 * Vector(M1B)
Vector(M1C) = k2 * Vector(M1A)
Vector(M1B) = k3 * Vector(M1C)

Show that k1*k2*k3=1.

Thanks!

Answer 1

Multipy the left sides together.

VMA*VMB*VMC

Now the right sides
k1*k2*k3*VM1*VM2*VM3

divide both sides by the common factor.