If →a=^i+^j+^k,→b=2^i−^j+^k and →c=^i+x^j+y^k, are linearly dependent and |→c|=√3 then (x,y) is
Options:
A .  
(1,1)
B .  
(−2,0)
C .  
(15,75)
D .  
(−75,35)
Answer: Option A : A Given that the three vectors are linearly dependent so →c=l→a+m→b ⇒l+2m=1 l−m=x ⇒x=3y−2 l+m=y Also, x2+y2+1=3 10y2−12y+2=0 ⇒y=1,15 x=1,−75
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