Question

Find the point 4/5 of the way from (7, −10, −4) to (7, 0, 10).

Not sure where to go about with this. I'm assuming I find the distance from the two points first..

Answer 1

you don't need the distance

just go 4/5 in each direction

Answer 2

Do you mind elaborating on that, I don't really understand..

Answer 3

Just set up the ratios.
Let the point be (x,y,z)

I will do the y coordinate, you do the others the same way.

(y - (-10) )/(0 - y) = 4/5
(y+10)/-y = 4/5
5y + 50 = -4y
9y = -50
y = -50/9

or , using vectors (I am using <......> to represent the vectors

<x,y,z> = (5/9)<7,0,10> + (4/9)<7,0,10>
= ....