Mathematics

Problem

If the position vectors of the points A, B and C be

i + j

i - j

and

a i + b j + c k

respectively, then the points A, B and C are collinear, if a.

a = b = c = 1

a = 1, b

and

c

are arbitrary scalars c.

a = b = c = 0

c = 0, a = 1

and

b

is arbitrary scalars