Nonzero vectors →a,→b,→c satisfy →a.→b =0, (→b−→a).(→b+→c) = 0 and 2 |→b+→c|=|→b−→a|.
If = →a=μ→b+4→c then μ = ______
(¯b−¯a).(¯b+¯a−μ¯b4)=0⇒(4−μ)b2=a2⇒μ<42∣∣∣→b+→a−μ→b4∣∣∣=|¯b−¯a|⇒μ2=5μ⇒μ=0 or 5⇒μ=0