VectorEasy
Question
Let 
and
be three non-zero vectors such that no two of these are collinear. If the vector
is collinear with
and
is collinear with
(λ being some non-zero scalar) then
equals

and
be three non-zero vectors such that no two of these are collinear. If the vector
is collinear with
and
is collinear with
(λ being some non-zero scalar) then
equalsOptions
A.

B.

C.

D.0
Solution
....... (1)and
....... (2)(1) - 2 × (2) ⇒
(1 + 2t2) +
(-t1 - 6) = 0 ⇒ 1 + 2t2 = 0 ⇒ t2 = - 1/2 & t1 = - 6.Since
and
are non-collinear. Putting the value of t1 and t2 in (1) and (2), we get

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