Question
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
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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:
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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