VectorHard
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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