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Find the vector equation of the line pas...

Find the vector equation of the line passing through the point `(2,-1,-1)` which is parallel to the line `6x-2=3y+1=2z-2.`

Text Solution

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The given line is `-6x-2=3y+1=2z-2`
or `" "(x+(1//3))/(-1//6)=(y+(1//3))/(1//3)=(z-1)/(1//2)`
The direction ratios are `-(1)/(6), (1)/(3) and (1)/(2) or -1, 2 and 3`.
The required equation is `(x-2)/(-1)=(y+1)/(2)=(z+1)/(3)`
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