How to find a point on a line in 3d given the distance from one of the points?

Let a line in three dimensions be specified by two points  and  lying on it, so a vector along the line is given by

To minimize the distance, set  and solve for  to obtain

where  denotes the dot product. The minimum distance can then be found by plugging  back into (2) to obtain

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!

(1,-1) i hope this

step-by-step explanation: