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Alexis1994_13 4 years ago when 2 vectors are parallel what we have ? I mean vector AB//BC= ?

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1. amistre64

we have 2 vectors the differ by at most a scalar

2. Alexis1994_13

AB*BC=0 ?

3. amistre64

does dotting parallel vectors produce a 0? they aint orthogonal that I can recall

4. amistre64

0,1 0,1 ---- 0+1 = 1 0,1 0,-1 ---- 0-1 = -1

5. amistre64

3 , 4 -3,-4 ----- -9-12 = -18

6. Alexis1994_13

AB+BC=-1 ?

7. amistre64

adding vectors produces another vector, not a scalar

8. amistre64

youre gonna have to provide more verbiage if I am to understand what it is your asking :)

9. amistre64

that and 4.-4 = -16 ... not -12 lol

10. Alexis1994_13

I have the vectors AB(2,6) and BC(2K-2 , 5K-4) And I need to prove that those vectors are parallel. How I will do that?

11. Alexis1994_13

I mean,I need to find fot wich k those vectors are parallel.

12. amistre64

when they differ by only a scalar; by a multiplicative factor. 2 = 2k-2 and 6 = 5k-4

13. estudier

You could test values of k--

14. amistre64

4 = 2k; k=2 10 = 5k; k=2 right? so when k=2; that is one possible option for parallel

15. Alexis1994_13

then we have AB//BC <=> AB = BC

16. amistre64

when ab = bc; they are parallel; but thats not the only case ...

17. amistre64

if you can determine the angle that the vectors span from each other; then you can prove if they are parallel or not as well :) 180 and 0 are parallel vectors

18. estudier

normal to one is normal to the other...

19. Alexis1994_13

okay,I got it :D Thank ya a lot.

20. amistre64

2 , 6 2k-2, 5k-4 ----------- 4k-4 + 30k-24 = 34k -28 ..... :)

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