# Math Help - Vector Decomposition

1. ## Vector Decomposition

Find the decomposition with respect to . = ?
= ?

Please help!

2. Originally Posted by Del

Find the decomposition with respect to . = ?
= ?

Please help!
$V_{parallel}=\frac{v \cdot w}{|w|^2}w=\frac{23}{24}w=<\frac{23}{12},\frac{23} {6},\frac{23}{12}>$

$V_{perp}=v-v_{parallel}=<3,3.5,1.5> - <\frac{23}{12},\frac{23}{6},\frac{23}{13}>=<\frac{ 13}{12},\frac{-1}{3},\frac{-5}{12}>$