Hi, I'm having trouble with a linear algebra question and would really appreciate some help.

resolve the vectoru= 5i+j+ 6kinto a sum of two vectors, one of which is parallel to and the other perpendicular tov= 3i- 6j+ 2k

Thanks!

- Apr 5th 2011, 02:36 AMrorosingsongResolving a vector into the sum of two other vectors (using dot products)
Hi, I'm having trouble with a linear algebra question and would really appreciate some help.

resolve the vector**u**= 5**i**+**j**+ 6**k**into a sum of two vectors, one of which is parallel to and the other perpendicular to**v**= 3**i**- 6**j**+ 2**k**

Thanks! - Apr 5th 2011, 02:48 AMPlato
$\displaystyle \displaystyle

U_\parallel = \frac{{U \cdot V}}

{{V \cdot V}}V\;\& \,U_ \bot = U - U_\parallel $