What value will make these two vectors parallel?

kasda-1
Messages
2
Reaction score
0

Homework Statement



What value of c will make these two vectors parallel?

Homework Equations



3i + 2j + 9k = w
5i - j + ck = v


The Attempt at a Solution




I tried too find a common factor to multiply by the w vector to get the components of the v vector, but no luck.

3i (5/3) + 2j (5/3) +9k (5/3) = 5i + 10/3 j + 45/3 k ≠ 5i - j +ck
 
Physics news on Phys.org
kasda-1 said:

Homework Statement



What value of c will make these two vectors parallel?

Homework Equations



3i + 2j + 9k = w
5i - j + ck = v


The Attempt at a Solution




I tried too find a common factor to multiply by the w vector to get the components of the v vector, but no luck.

3i (5/3) + 2j (5/3) +9k (5/3) = 5i + 10/3 j + 45/3 k ≠ 5i - j +ck

Would that lead you to conclude that there is no value of c that will make them parallel? Because that would be correct.
 
Dick said:
Would that lead you to conclude that there is no value of c that will make them parallel? Because that would be correct.

I thought and thought about this problem, wondering if this is a trick question. It probably is that simple :).
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top