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=l⃗a+m⃗b
⇒l+2m=1
l−m=x
⇒x=3y−2
I +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=l⃗a+m⃗b
⇒l+2m=1
l−m=x
⇒x=3y−2
I +m =y
Also, x2+y2+1=3
10y2−12y+2=0
⇒y=1,15
x=1,−75
Was this answer helpful ?
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