Science:Math Exam Resources/Courses/MATH307/April 2006/Question 06 (c)/Statement

Determine if each of the following statements is true of false. Show reason or proof if true and show reason or counter example if false.

Let U,V,W be three subspaces of $\displaystyle \mathbb {R} ^{n}$. If $\displaystyle U\perp V$ and $\displaystyle V\perp W$, then $\displaystyle U\perp W$.