Mark the correct alternative in each of the following:
If
are three non-zero vectors, no two of which are collinear and the vector
is collinear with
is collinear with
, then ![]()
As
is collinear with
,
-------- (i)
As
is collinear with
,
-------- (ii)
Adding
both sides of the equation (i),
![]()
-------- (iii)
Adding
both sides of the equation (iii),
![]()
--------- (iv)
Equating the RHS of equation (iii)& (iv), being their LHS equal,
![]()
As, a is not collinear with c,
![]()
{From equation (iv)}
![]()
Option (D)is the answer.