What is the Value of s for Parallel Vectors in Linear Algebra?

[byronsakic]

the vectors u and v are linearly independent. find s, if vectors (1-s)u - 2/3v and 3u +sv are parallel.

where u and v are vectors.

i am totally clueless, even my tutor couldn't solve it.

 

[TD]

How can you algebraically express that two vectors a and b are parallel?
Do that for the two vectors you are given (in function of s) and solve for s.

 

[byronsakic]

but u and v are coplanar? XD

 

[TD]

Vectors a and b are parallel if there exists a scalair k such that a = kb. Apply that to the two vectors you want to be parallel, and find the s for which this holds.

 

[Tide]

the vectors u and v are linearly independent. find s, if vectors (1-s)u - 2/3v and 3u +sv are parallel.
where u and v are vectors.
i am totally clueless, even my tutor couldn't solve it.

You might consider getting another tutor! :)