JEE Advanced | 2014VectorHard
Question
Let 
and 
be three vectors each of magnitude √2 and the angle between each pair of them is 
. If 
is a nonzero vector perpendicular to 
and 
and 
is a nonzero vector perpendicular to 
and 
, then
and be three vectors each of magnitude √2 and the angle between each pair of them is . If is a nonzero vector perpendicular to and and is a nonzero vector perpendicular to and , thenOptions
A.
B.
C.
D.
Solution
Given that 
and 
∴
(Option B is correct)
(Option A is correct)
and
= - λμ(1 - 1 - 2 + 1)
= - λμ
(Option C is correct)
∴ (A, B, C) are correct.
and ∴
(Option B is correct) (Option A is correct)and
= - λμ(1 - 1 - 2 + 1)
= - λμ
(Option C is correct)∴ (A, B, C) are correct.
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