If the vertices A, B, C of a triangle ABC are the points with position vectors respectively, what are the vectors determined by its sides? Find the length of these vectors.

Question

Philoid · Accepted Answer

Let the position vector of the vertex ‘A’ is ,

And similarly B and C

Side AB is

………..(1)

Equation (1) vector representation of the side AB

Magnitude of side AB,

And similarly for side BC and CA

……….(2)

Length of side BC and CA