VectorHard
Question
If 
be three mutually perpendicular vectors of the same magnitude. If a vectors 
satisfies the equation 
then is given by
be three mutually perpendicular vectors of the same magnitude. If a vectors satisfies the equation then is given byOptions
A.
B.
C.
D.
Solution
Since, 
arte mutually perpendiculae vectore of same magnitude, so let us consider
.....(i)
Given,
⇒
⇒
⇒
.....(ii)
Taking dot of Eq. (ii) with
, we get
⇒
Similarly, taking dot of Eq. (ii) with
and 
respectively, we get
∴ Eq. (ii) becomes
⇒
⇒
arte mutually perpendiculae vectore of same magnitude, so let us consider .....(i)Given,
⇒
⇒
⇒
.....(ii) Taking dot of Eq. (ii) with
, we get ⇒
Similarly, taking dot of Eq. (ii) with
and respectively, we get ∴ Eq. (ii) becomes
⇒
⇒
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