Hey, I'm stuck on one problem for my homework (LAST ONE!!) It seems really simple but I can't figure it out. Here it is:

Express the vector A = 2i - 3j + 5k as a sum A = B + C, where B is parallel to the vector V = 3i -2j +5k and C is perpendicular to V.

Here's what I know:

B x V = 0, because B is parallel to V

C (dot) V = 0, because C is perpendicular to V

However I can't find a way to apply the above :confused:

Thanks! :o