Determine whether the following points lie on straight line, A(2,4,2), B(3,7,-2), C(1,3,3)?

Answer 1

B - A = (1,3,-4).
C - B = (-2,-4,5).
Those aren't multiples of each other, so they don't lie on a straight line.

Answer 2

I think the answer is pretty simple: no

Put the points in another order:
1,3,3
2,4,2
3,7,-2

If these were "linear" then the pairs should also be linear. So ignore the third number on each line and look at
1,3
2,4
3,7

And these clearly are NOT on the same line, because the "slope" between the first and second point (4-3)/(2-1)
is not the same as the slope between the second and third points (7-4)/(3-1)

Answer 3

once you've the Stewart e book, vectors do not come into play till the subsequent section. a less complicated technique (using what's taught contained in the intro to three-D coordinate platforms) is to first locate the lengths between each and every pair using the three-D distance formulation. once you've those values you ought to work out that the bigger length might want to equivalent the sum of both smaller lengths.

Answer 4

i would if i wouldnt have thout u were doing it for homework or somthing and besides the fact that i have no idea how u use another dimension besides the x and y. and i dont think they are

Answer 5

dangit its so confusing with 3d i forgot this but i think it is