I have been reading through this result and a posting from Dr Math
Can someone direct me to the proof of a result which is assumed true within this discussion? Quoting from above...
Use the well-known result that if P, Q, and R are collinear, then the
two conditions that will be satisfied are:
k1.p + k2.q + k3.r = 0
k1 + k2 + k3 = 0
where p, q and r are position vectors respectively of P, Q, and R, and
k1, k2, and k3 are scalar constants.
Where does this well-known result come from? Is there a proof someone can help me get started on?
When i think about collinear, i think about the same directions? cant see why the constants will to sum to zero.
Can someone direct me to the proof of a result which is assumed true within this discussion? Quoting from above...
Use the well-known result that if P, Q, and R are collinear, then the
two conditions that will be satisfied are:
k1.p + k2.q + k3.r = 0
k1 + k2 + k3 = 0
where p, q and r are position vectors respectively of P, Q, and R, and
k1, k2, and k3 are scalar constants.
Where does this well-known result come from? Is there a proof someone can help me get started on?
When i think about collinear, i think about the same directions? cant see why the constants will to sum to zero.