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Find the vector and the Casrtesian equat...

Find the vector and the Casrtesian equations o the lane passing through the point (1,2,30 and perpendicular to the line with direction ratio 2,3,-4.

Text Solution

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The correct Answer is:
`2x+3y-4z+4=0, vecr.(2hati+3hatj-4hatk)+4=0`
Required equation is `2(x-1)+3(y-2)-4(z-3)=0 rArr 2x+3y-4z+4=0`. Its vector equation is
`(xhati+yhatj+zhatk).(2hati+3hatj-4hatk)+4=0`, i.e., `vecr.(2hati+3hatj-4hatk)+4=0`.
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