Points a→,b→,c→ and d→ are coplanar and (sin⁡α)a→+(2sin⁡2β)b→+(3sin⁡3γ)c→−d→=0→ Then the least value of  sin2⁡α+sin2⁡2β+sin2⁡3γ is

Points a→,b→,c→ and d→ are coplanar Therefore, sin2⁡α+sin2⁡2β+sin2⁡3γ =1now  ,|sin⁡α+2sin⁡2β+3sin⁡3γ|≤1+4+9⋅sin2⁡α+sin2⁡2β+sin2⁡3γor  sin2⁡α+sin2⁡2β+sin2⁡3γ≥114