so direction ratios of line perpendicular to given line is (-2,6+t,t-2)
since these lines are perpendicular we get t=-2
so point is (-2,4,-4)
. i think thats where i went wrong
distnce betn (5,1,3) and d line x=3 y=7+t z=1+t is
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inoe d answer post d method
let foot of the perpendicular from (5,1,3) to the given line be A.
coordinates of A are (3,7+t,1+t)
so direction ratios of line perpendicular to given line is (-2,6+t,t-2)
since these lines are perpendicular we get t=-1
so point is(-2,5,-3) so distance of point from the line is √61
so direction ratios of line perpendicular to given line is (-2,6+t,t-2)
since these lines are perpendicular we get t=-2
so point is (-2,4,-4)
. i think thats where i went wrong