The equation of a line which passes through point `A(1,0,-1)` and perperdicular to the straight lines `vecr=2hatj-hatj+hatk+lambda"("2hati+7hatj-3hatk")"` and `vecr=3hati-hatj+3hatk+lambda"("2hati-2hatj+5hatk")",` is -

Options

A. `(x-2)/(29) =(y)/(-16) =(z+1)/(18)`
B. `(x-1)/(29)=(y)/(-16)=(z+1)/(-18)`
C. `(x-1)/(16) =(y)/(-16)=(z+1)/(-18)`
D. None of these

Answer

B

Explanation

Let the equation of line passes through
`(x-1)/(a) =(y-0)/(b) =(z+1)/(C)" " .........(i)`
it is perpendicular to two given lines
`:. 2a +7b -3c =0 " "............(2)`
`"and " 2a -2b +5c =0 " ".........(3)`
from (2) & (3)
`(a)/(29) =(b)/(-16) =(c)/(-18)`
`:. Eq^(n) "of line"`
`(x-1)/(29) =(y -0)/(-16) =(z+1)/(-18)`