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

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

i + j

i - j

and

a i + b j + c k

respectively, then the points A, B and C are collinear, if (1)

a = b = c = 1

(2)

a = 1, b

and

c

are arbitrary scalars (3)

a = b = c = 0

(4)

c = 0, a = 1

and

b

is arbitrary scalars