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प्रश्न
Find the equation of the lines passing through the point (2, 1, 3) and perpendicular to the lines
उत्तर
Passing through point (2, 1, 3) .........given
(x, y, z) = (2, 1, 3)
Perpendicular to the lines.
`(x-1)/1 = (y-2)/2 =(z-3)/3` and `X/-3 = Y/2 = Z/5`
Let `veca = hati +2hatj + 3k`
`barb = -3hatj + 2hatj + 3k`
`baraxxhatb = |(hati hatj hatk),(1 2 3),(-3 2 5)|`
`=hati(10-6)-j(5+9)+hatk(2+6)`
`= 4hati - 14hatj + 8k`
D.r.’s of required line : 4, - 14,8
i.e, 2,-7,4
Required equation of line `(x-2)/2 = (y-1)/-7 = (z - 3)/4`
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